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Complements to Ample Divisors and Singularities (Q5024556)

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scientific article; zbMATH DE number 7464614

Language	Label	Description	Also known as
English	Complements to Ample Divisors and Singularities	scientific article; zbMATH DE number 7464614

Statements

scholarly article

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Complements to Ample Divisors and Singularities (English)

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Handbook of Geometry and Topology of Singularities II

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publication date

26 January 2022

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full work available at URL

https://arxiv.org/abs/2108.02812

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zbMATH Keywords

Braid monodromy

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Alexander invariants

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branched covers

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Anatoly S. Libgober

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MaRDI profile type

MaRDI publication profile

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Triangular curves and cyclotomic Zariski tuples

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Solvable fundamental groups of algebraic varieties and K\"ahler manifolds

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Geometry of cohomology support loci for local systems I

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Fundamental groups of some quadric-line arrangements

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Classification of Fundamental Groups of Galois Covers of Surfaces of Small Degree Degenerating to Nice Plane Arrangements

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Moduli spaces of arrangements of 10 projective lines with quadruple points

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Characteristic classes of discriminants and enumerative geometry

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On the existence of ramified abelian covers

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Poincaré series of multiplier ideals in two-dimensional local rings with rational singularities

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Geography of irreducible plane sextics

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ON THE PURITY OF THE BRANCH LOCUS OF ALGEBRAIC FUNCTIONS

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Sextic curves with simple singularities

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Bernstein–Sato polynomial versus cohomology of the Milnor fiber for generic hyperplane arrangements

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Irregularite des Revetements Cycliques des Surfaces Projectives Non Singulieres

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On the Fundamental Group of an Algebraic Curve

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Galois covers for \({\mathfrak S}_4\) and \({\mathfrak A}_4\) and their applications.

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Dihedral coverings of algebraic surfaces and their application

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Mixed Hodge theory for unitary local Systems

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The fundamental group of a \(\mathbb{C}\mathbb{P}^2\) complement of a branch curve as an extension of a solvable group by a symmetric group

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A note on splitting numbers for Galois covers and 𝜋₁-equivalent Zariski 𝑘-plets

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Connected Numbers and the Embedded Topology of Plane Curves

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Galois covers of graphs and embedded topology of plane curves

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Lattice Zariski \(k\)-ples of plane sextic curves and \(Z\)-splitting curves for double plane sextics

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On arithmetic Zariski pairs in degree 6

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Equisingular families of plane curves with many connected components

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Fundamental groups of algebraic fiber spaces

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On the commutativity of fundamental groups of complements to plane curves

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Fundamental groups of complements to singular plane curves

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Local systems on proper algebraic \(V\)-manifolds

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Subspaces of moduli spaces of rank one local systems

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Monodromy and vanishing cycles in toric surfaces

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Homology of Abelian Coverings of Links and Spatial Graphs

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Mixed Hodge modules

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Reduzibilität ebener Kurven.

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Chern slopes of simply connected complex surfaces of general type are dense in [2,3]

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Applications of braid group techniques to the decomposition of moduli spaces, new examples

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Fundamentalgruppen algebraischer Mannigfaltigkeiten. (Fundamental groups of algebraic varieties)

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Mixed Hodge Structures

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Completely reducible hypersurfaces in a pencil

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Abelian covers of algebraic varieties.

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Bieri-Neumann-Strebel-Renz invariants and homology jumping loci

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Zariski's conjecture and related problems

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On the connectivity of the realization spaces of line arrangements

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On the fundamental groups of Galois covering spaces of the projective plane

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Mixed multiplier ideals and the irregularity of abelian coverings of smooth projective surfaces

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Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature

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The topology of normal singularities of an algebraic surface and a criterion for simplicity

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Simply-connected algebraic surfaces of positive index

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Singular Points of Complex Hypersurfaces. (AM-61)

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A duality theorem for Reidemeister torsion

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Polynômes de Bernstein-Sato associés à une intersection complète quasi-homogène à singularité isolée

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Intersection Homology & Perverse Sheaves

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Intersection homology and Alexander modules of hypersurface complements

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A description of the resonance variety of a line combinatorics via combinatorial pencils

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On the distribution of Galois groups

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On asymptotic bounds for the number of irreducible components of the moduli space of surfaces of general type. II.

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Fundamental groups of projective discriminant complements

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Le polynôme d'Alexander d'une courbe plane projective. (The Alexander polynomial of a projective plane curve)

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Reidemeister torsion, peripheral complex and Alexander polynomials of hypersurface complements

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Mellin transformation, propagation, and abelian duality spaces

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Nearby cycles and Alexander modules of hypersurface complements

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Fundamental groups of Galois closures of generic projections

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On Mordell-Weil groups of isotrivial abelian varieties over function fields

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Sequences of LCT-polytopes

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Non vanishing loci of Hodge numbers of local systems

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Lectures on topology of complements and fundamental groups

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Hodge decomposition of Alexander invariants

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On the homotopy of the complement to plane algebraic curves.

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Homotopy groups of the complements to singular hypersurfaces. II

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On the homology of finite abelian coverings

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Alexander polynomial of plane algebraic curves and cyclic multiple planes

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On Chisini's conjecture

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Kählerian three-manifold groups

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Twisted Alexander invariants, Reidemeister torsion, and Casson-Gordon invariants

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B-functions and holonomic systems. Rationality of roots of B-functions

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Groupes d'Artin, arrangements projectifs et groupes fondamentaux des variétés complexes algébriques lisses

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The irregularities of Hirzebruch's examples of surfaces of general type with \(c_1^2=3 c_2\)

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Alexander stratifications of character varieties

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Abelian coverings of the complex projective plane branched along configurations of real lines

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The kernel of the monodromy of the universal family of degree d smooth plane curves

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On the Severi problem

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Monodromy of codimension 1 subfamilies of universal curves

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Bernstein-Sato's polynomial for several analytic functions

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Configurations of points and topology of real line arrangements

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Singular Algebraic Curves

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Higher Obstructions to Deforming Cohomology Groups of Line Bundles

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Differential forms on log canonical spaces

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Motivic infinite cyclic covers

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Basic results on braid groups.

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The log-canonical threshold of a plane curve

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On the number of moduli of plane sextics with six cusps

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On the fundamental group of the complement of a node curve

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Kähler groups, quasi-projective groups and 3-manifold groups

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Classification of moduli spaces of arrangements of nine projective lines

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Direct product of free groups as the fundamental group of the complement of a union of lines

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Braid monodromy of univariate fewnomials

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Fibre de Milnor d'un cône sur une courbe plane singulière

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Hyperplane arrangement cohomology and monomials in the exterior algebra

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A conjugation-free geometric presentation of fundamental groups of arrangements

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Multivariable Alexander invariants of hypersurface complements

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Hyperplane arrangements. An introduction

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Singularities and topology of hypersurfaces

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Plane curves with a big fundamental group of the complement

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Abelian duality and propagation of resonance

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Multinets, parallel connections, and Milnor fibrations of arrangements

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Théorie de Hodge. III

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Théorie de Hodge. II. (Hodge theory. II)

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Equations différentielles à points singuliers réguliers

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On the Artal–Carmona–Cogolludo construction

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A divisibility theorem for the Alexander polynomial of a plane algebraic curve

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Zariski \(k\)-plets via dessins d'enfants

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Plane sextics via dessins d'enfants

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Plane sextics with a type \(\mathbf{E}_8\) singular point

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Classical Zariski pairs

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Topology of plane algebraic curves: the algebraic approach

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Hurwitz equivalence of braid monodromies and extremal elliptic surfaces

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Topology of algebraic curves. An approach via dessins d'enfants

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Dihedral coverings of trigonal curves

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On plane sextics with double singular points

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Oka's conjecture on irreducible plane sextics

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On deformations of singular plane sextics

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The vanishing cycles of curves in toric surfaces I

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Mordell-Weil groups of elliptic threefolds and the Alexander module of plane curves

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Topology of Algebraic Varieties and Singularities

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Twisted Alexander polynomials of plane algebraic curves

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On a problem of Chisini

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Singular spaces, characteristic classes, and intersection homology

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Multivariable Hodge theoretical invariants of germs of plane curves

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MULTIVARIABLE HODGE THEORETICAL INVARIANTS OF GERMS OF PLANE CURVES

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Bernstein-Sato ideals and local systems

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Unitary local systems, multiplier ideals, and polynomial periodicity of Hodge numbers

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On Hodge spectrum and multiplier ideals

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What annihilates a module?

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Quasiprojective Three-Manifold Groups and Complexification of Three-Manifolds

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Groups with homological duality generalizing Poincaré duality

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Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe

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Finite complex reflection arrangements are \(K(\pi,1)\)

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Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

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Geometry of bisections of elliptic surfaces and Zariski \(N\)-plets. II.

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Démonstration constructive de l'existence de polynômes de Bernstein–Sato pour plusieurs fonctions analytiques

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Fundamental groups of complements of plane curves and symplectic invariants

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Branched coverings of \(\mathbb{C}\mathbb{P}^2\) and invariants of symplectic 4-manifolds

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Depth of cohomology support loci for quasi-projective varieties via orbifold pencils

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Characteristic varieties of quasi-projective manifolds and orbifolds

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Topology of arrangements and position of singularities

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Essential coordinate components of characteristic varieties

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Braid monodromy and topology of plane curves

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Some Open Questions on Arithmetic Zariski Pairs

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An arithmetic Zariski pair of line arrangements with non-isomorphic fundamental group

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The fundamental group of a generalized trigonal curve

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An arithmetic Zariski 4-tuple of twelve lines

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Perverse sheaves on semi-abelian varieties -- a survey of properties and applications

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The irregularity of cyclic multiple planes after Zariski

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Quasi-Kähler groups, 3-manifold groups, and formality

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Which 3-manifold groups are Kähler groups?

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-78024-1_10

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5024556

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