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Surfaces of general type with geometric genus zero: a survey (Q3098613)

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Language	Label	Description	Also known as
English	Surfaces of general type with geometric genus zero: a survey	scientific article

Statements

scholarly article

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Surfaces of general type with geometric genus zero: a survey (English)

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Roberto Pignatelli

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Ingrid C. Bauer

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Fabrizio Catanese

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Complex and Differential Geometry

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publication date

18 November 2011

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full work available at URL

https://arxiv.org/abs/1004.2583

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zbMATH Keywords

surfaces of general type with genus \(0\)

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Godeaux surfaces

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Campedelli surfaces

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Burniat surfaces

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Bloch conjecture

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actions of finite groups

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Some new surfaces with \(p_ g=0\)

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A simply connected surface of general type with \(p_ g=0\)

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Rational equivalence of zero cycles for some more surfaces with \(p_ g=0\)

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A volume maximizing canonical surface in 3-space

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The moduli space of Keum-Naie surfaces

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Burniat surfaces I: fundamental groups and moduli of primary Burniat surfaces

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Burniat surfaces. II: Secondary Burniat surfaces form three connected components of the moduli space

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Inoue type manifolds and Inoue surfaces: a connected component of the moduli space of surfaces with $K^2=7, p_g = 0$

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The classification of surfaces with \(p_g=q=0\) isogenous to a product of curves

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Quotients of products of curves, new surfaces with <i>p<sub>g</sub></i> = 0 and their fundamental groups.

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The classification of minimal product-quotient surfaces with 𝑝_{𝑔}=0

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A Calabi-Yau threefold with non-Abelian fundamental group

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K<sub>2</sub>of artinian Q-algebras, with application to algebraic cycles

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Canonical models of surfaces of general type

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The Magma algebra system. I: The user language

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Sur les surfaces de genre \(P_{12} > 1\)

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Local contributions to global deformations of surfaces

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Enumeration of the 50 fake projective planes

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Babbage's conjecture, contact of surfaces, symmetric determinantal varieties and applications

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On the moduli spaces of surfaces of general type. Appendix: Letter of E. Bombieri written to the author

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Everywhere non reduced moduli spaces

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Fibred surfaces, varieties isogenous to a product and related moduli spaces

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Moduli spaces of surfaces and real structures

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Fibred Kähler and quasi-projective groups

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Differentiable and deformation type of algebraic surfaces, real and symplectic structures

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Embeddings of curves and surfaces

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On the scalar curvature of Einstein manifolds

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Quintic surfaces of \(\mathbb{P}^ 3\) having a non-singular model with \(q=p_ g=0\), \(P_ 2\neq 0\)

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The fundamental group of a quotient of a product of curves

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A simply connected numerical Godeaux surface with ample canonical class

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The topology of four-dimensional manifolds

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The smooth invariance of the Kodaira dimension of a complex surface

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On resolutions of cyclic quotient singularities

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Global moduli for surfaces of general type

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Komplexe Räume

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Cohomological goodness and the profinite completion of Bianchi groups.

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Finite-dimensional motives and the conjectures of Beilinson and Murre

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On deformations of quintic surfaces

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Endliche Gruppen I

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Rational equivalence of 0-cycles on some surfaces of general type with \(p_g=0\)

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Some new surfaces of general type

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The strong rigidity theorem for non-Archimedean uniformization

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A strong rigidity theorem for a certain class of compact complex analytic surfaces

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A fake projective plane with an order 7 automorphism

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Quotients of fake projective planes

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Chow groups are finite dimensional, in some sense

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On the rigidity of certain fundamental groups, arithmeticity of complex hyperbolic lattices, and the ``fake projective planes''

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Old and new examples of surfaces of general type with $ p_g=0$

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On real structures on rigid surfaces

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A simply connected surface of general type with \(p_g=0\) and \(K^2=2\)

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A complex surface of general type with \(p_g=0\), \(K^2=2\) and \(H_1=\mathbb{Z}/2\mathbb{Z}\)

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On the moduli space of diffeomorphic algebraic surfaces

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Surfaces of Albanese general type and the Severi conjecture

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THE BICANONICAL MAP OF SURFACES WITH <i>p</i><sub><i>g</i></sub> = 0 AND <i>K</i><sup>2</sup> [ges ] 7

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A connected component of the moduli space of surfaces with \(p_g=0\).

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A new family of surfaces with and

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Surfaces of general type with \(p_g=0\), \(K^2=6\) and non birational bicanonical map

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The degree of the bicanonical map of a surface with 𝑝_{𝑔}=0

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On the algebraic fundamental group of surfaces with \(K^2\leq 3\chi\)

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Numerical Campedelli surfaces with fundamental group of order 9

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Campedelli surfaces with fundamental group of order 8

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Tricanonical maps of numerical Godeaux surfaces

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On the Chern numbers of surfaces of general type

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Strong Rigidity of Locally Symmetric Spaces. (AM-78)

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Rational equivalence of O-cycles on surfaces

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An Algebraic Surface with K Ample, (K 2 ) = 9, p g = q = 0

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Enriques surfaces and a construction of surfaces of general type with \(p_ g=0\)

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Numerical Campedelli Surfaces Cannot have the Symmetric Group as the Algebraic Fundamental Group

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A construction of numerical Campedelli surfaces with torsion ℤ/6

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Abelian covers of algebraic varieties.

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The Severi inequality \(K^2 \geq 4\chi\) for surfaces of maximal Albanese dimension

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A COMPLEX SURFACE OF GENERAL TYPE WITH p<sub>g</sub>=0, K<sup>2</sup>=3 AND H<sub>1</sub>= ℤ/2ℤ

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A simply connected surface of general type with \(p_{g}=0\) and \(K^{2}=3\)

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A simply connected surface of general type with \(p_{g}=0\) and \(K^{2}=4\)

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The classification of isotrivially fibred surfaces with \(p_{g} = q = 2\)

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On certain examples of surfaces with <i>p<sub>g</sub></i> = 0 Due to Burniat

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Fake projective planes

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Addendum to ``Fake projective planes'' Invent. Math. 168, 321-370 (2007)

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Standard isotrivial fibrations with \(p_g=q=1\)

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Numerical properties of isotrivial fibrations

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Vector bundles of rank 2 and linear systems on algebraic surfaces

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Decidable Properties of Polycyclic Groups

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Isotrivial fibred surfaces

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Galois Cohomology

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A class of algebraic surfaces of general type constructed from quaternion algebras

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A note on Campedelli surfaces

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Projective varieties with non-residually finite fundamental group

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Murphy's law in algebraic geometry: Badly-behaved deformation spaces

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A surface of general type with \(p_ g= q=0\), \(K^ 2=1\)

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A four-dimensional deformation of a numerical Godeaux surface

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Surfaces fibrées en courbes de genre deux

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Finitude de l'application bicanonique des surfaces de type général

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Calabi's conjecture and some new results in algebraic geometry

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On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I

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Identifiers

zbMATH Open document ID

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10.1007/978-3-642-20300-8_1

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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:3098613

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