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19922026
most citedThe World of the Complex Ginzburg-Landau Equation

2k citations

Showing 2010 · math.AGShow all

13 papers · 2 filters

math.AG2010

Burniat surfaces III: deformations of automorphisms and extended Burniat surfaces

Ingrid Bauer, Fabrizio Catanese

We continue our investigation of the connected components of the moduli space of surfaces of general type containing the Burniat surfaces, correcting a mistake in part II. We defin…

math.AG2010★ 3 cited

Kulikov surfaces form a connected component of the moduli space

Tsz On Mario Chan, Stephen Coughlan

We show that the Kulikov surfaces form a connected component of the moduli space of surfaces of general type with p_g=0 and K^2=6. We also give a new description for the surfaces,…

math.AG2010★ 5 cited

Irreducibility of the space of cyclic covers of algebraic curves of fixed numerical type and the irreducible components of

Fabrizio Catanese

We prove irreducibility for the space of cyclic covers of fixed numerical type between smooth projective curves, and also for the space of cyclic covers of prime order and of fixed…

math.AG2010★ 3 cited

Determinantal quartics and the computation of the Picard group

Andreas-Stephan Elsenhans, Jörg Jahnel

We test the methods for computing the Picard group of a surface in a situation of high rank. The examples chosen are resolutions of quartics in $\bP^3$ having 14 singularities…

math.AG2010★ 41 cited

New outlook on the Minimal Model Program, I

Paolo Cascini, Vladimir Lazić

We give a new and self-contained proof of the finite generation of adjoint rings with big boundaries. As a consequence, we show that the canonical ring of a smooth projective varie…

math.AG2010★ 3 cited

The Picard group of a surface and its reduction modulo

Andreas-Stephan Elsenhans, Jörg Jahnel

We present a method to compute the geometric Picard rank of a surface over . Contrary to a widely held belief, we show it is possible to verify Picard rank using red…

math.AG2010★ 26 cited

On the computation of the Picard group for surfaces

Andreas-Stephan Elsenhans, Jörg Jahnel

We construct examples of surfaces of geometric Picard rank . Our method is a refinement of that of R. van Luijk. It is based on an analysis of the Galois module structure o…

math.AG2010★ 7 cited

The classification of minimal product-quotient surfaces with

Ingrid Bauer, Roberto Pignatelli

A product-quotient surface is the minimal resolution of the singularities of the quotient of a product of two curves by the action of a finite group acting separately on the two fa…

math.AG2010★ 17 cited

New outlook on the Minimal Model Program, II

Alessio Corti, Vladimir Lazić

We prove that the finite generation of adjoint rings proved in [Cascini and Lazić] implies all the foundational results of the Minimal Model Program: the Rationality, Cone and Cont…

math.AG2010

Surfaces of general type with geometric genus zero: a survey

Ingrid Bauer, Fabrizio Catanese, Roberto Pignatelli

In the last years there have been several new constructions of surfaces of general type with , and important progress on their classification. The present paper presents the…

math.AG2010★ 2 cited

Moduli spaces of surfaces and monodromy invariants

Fabrizio Catanese, Michael Lönne, Bronislaw Wajnryb

This paper is a survey of the authors' recent results on "abc-surfaces" and the monodromy of their natural Lefschetz fibrations and projections to P^1 x P^1, see (arXiv:0910.2142).…

math.AG2010★ 2 cited

Splitting submanifolds of families of fake elliptic curves

Priska Jahnke, Ivo Radloff

Let N a compact complex submanifold of a compact complex manifold M. We say N splits in M, if the holomorphic tangent bundle sequence splits holomorphically. By a result of Mok a s…

math.AG2010★ 164 cited

Differential Forms on Log Canonical Spaces

Daniel Greb, Stefan Kebekus, Sandor J. Kovacs +1

The present paper is concerned with differential forms on log canonical varieties. It is shown that any p-form defined on the smooth locus of a variety with canonical or klt singul…