Antonio Campillo

DOI10.1007/978-3-319-96827-8_1zbMath1405.14001OpenAlexW2890018008MaRDI QIDQ4613685

Francisco Monserrat, Sebastian Xambó-Descamps

Publication date: 24 January 2019

Published in: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-96827-8_1

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) History of algebraic geometry (14-03) History of information and communication theory (94-03) History of commutative algebra (13-03)

Cites Work

• Equivariant Poincaré series and topology of valuations
• Equivariant Poincaré series of filtrations
• Alexander polynomials and Poincaré series of sets of ideals
• Poincaré series for filtrations defined by discrete valuations with arbitrary center
• Hilbert function, generalized Poincaré series and topology of plane valuations
• Configurations of infinitely near points
• The Poincaré series of divisorial valuations in the plane defines the topology of the set of divisors
• Multi-index filtrations and generalized Poincaré series
• Special subschemes of the scheme of singularities of a plane foliation
• Evaluation codes at singular points of algebraic differential equations
• Universal abelian covers of rational surface singularities and multi-index filtrations
• Combinatoric of syzygies for semigroup algebras
• Algebroid curves in positive characteristic
• Gorenstein property and symmetry for one-dimensional local Cohen-Macaulay rings
• Combinatorial aspects of sequences of point blowing ups
• A Hochschild homology criterium for the smoothness of an algebra
• Valuative Arf characteristic of singularities.
• On the graded algebra relative to a valuation
• Minimal systems of generators for ideals of semigroups
• The Alexander polynomial of a plane curve singularity via the ring of functions on it
• On sections with isolated singularities of twisted bundles and applications to foliations by curves
• Poincaré series of a rational surface singularity
• Poincaré series of curves on rational surface singularities
• On the monodromy at infinity of a plane curve and the Poincaré series of its coordinate ring
• Minimal resolutions of lattice ideals and integer linear programming
• Algebraic geometry and singularities. Proceedings of the 3rd international conference on algebraic geometry held at La Rábida, Spain, December 9-14, 1991
• Clusters of infinitely near points
• On the monodromy of a plane curve singularity and the Poincaré series of its ring of functions
• Computing Weierstrass semigroups and the Feng-Rao distance from singular plane models
• Syzygies of affine toric varieties
• Equivariant Poincaré series of filtrations and topology
• An equivariant Poincaré series of filtrations and monodromy zeta functions
• Equisingular calculations for plane curve singularities
• Cones of curves and of line bundles ``at infinity
• On the parameters of algebraic-geometry codes related to Arf semigroups
• Polarity with respect ot a foliation and Cayley-Bacharach Theorems
• COIN EXCHANGE ALGORITHMS AND TORIC PROJECTIVE CURVES
• Integration with respect to the Euler characteristic over a function space and the Alexander polynomial of a plane curve singularity
• Zeta Functions in Algebra and Geometry
• POINCARÉ SERIES OF COLLECTIONS OF PLANE VALUATIONS
• Symbolic Hamburger-Noether expressions of plane curves and applications to AG codes
• CONES OF CURVES AND OF LINE BUNDLES ON SURFACES ASSOCIATED WITH CURVES HAVING ONE PLACE AT INFINITY
• Hamburger-Noether Expansions Over Rings
• On Poincar\'e series of filtrations
• Higher order relations for a numerical semigroup
• A plane foliation of degree different from 1 is determined by its singular scheme
• Derivation algebras of toric varieties
• Arf Closure Relative to a Divisorial Valuation and Transversal Curves
• Proximity inequalities and bounds for the degree of invariant curves by foliations of ℙ_{ℂ}²
• Graphes arithmétiques et syzygies
• The Poincaré series associated with finitely many monomial valuations
• On Generators of the Semigroup of a Plane Curve Singularity
• The Alexander polynomial of plane curve singularities and rings of functions on curves
• Invariant Curves by Vector Fields on Algebraic Varieties
• THE ALEXANDER POLYNOMIAL OF A PLANE CURVE SINGULARITY AND INTEGRALS WITH RESPECT TO THE EULER CHARACTERISTIC
• On the topological type of a set of plane valuations with symmetries
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Antonio Campillo