University of Bayreuth

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19922026

most citedThe World of the Complex Ginzburg-Landau Equation

2k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2022 · math.AGShow all

9 papers · 2 filters

math.AG2022

The Hesse pencil and polarizations of type $(1, 3)$ on Abelian surfaces

Fabrizio Catanese, Edoardo Sernesi

In this short note we prove two theorems, the first one is a sharpening of a result of Lange and Sernesi: the discriminant curve W of a general Abelian surface $A$ endowed with an…

math.AG2022

Pluricanonical Maps and the Fujita Conjecture

Fabrizio Catanese

We describe examples showing the sharpness of Fujita's conjecture on adjoint bundles also in the general type case, and use these examples to formulate related bold conjectures on…

math.AG2022

Singularities of normal quartic surfaces III (char=2, non-supersingular)

Fabrizio Catanese, Matthias Schütt

We show that the maximal number of singular points of a normal quartic surface $X \subset P_{K}^{3}$ defined over an algebraically closed field $K$ of characteristic 2 is at m…

math.AG2022

Manifolds with trivial Chern classes I: Hyperelliptic Manifolds and a question by Severi

Fabrizio Catanese

We give a negative answer to a question posed by Severi in 1951, whether the Abelian Varieties are the only projective manifolds with trivial Chern classes. By Yau' s celebrated re…

math.AG2022★ 5 cited

On the $4$ -dimensional minimal model program for Kähler varieties

Omprokash Das, Christopher Hacon, Mihai Păun

In this article we establish the following results: Let $(X, B)$ be a dlt pair, where $X$ is a $Q$ -factorial Kähler $4$ -fold -- (i) if $X$ is compact and $K_X+B\sim_{\mathb…

math.AG2022★ 11 cited

The Nonvanishing problem for varieties with nef anticanonical bundle

Vladimir Lazić, Shin-ichi Matsumura, Thomas Peternell +2

We prove that if $(X, Δ)$ is a threefold pair with mild singularities such that $- (K_{X} + Δ)$ is nef, then the numerical class of $- (K_{X} + Δ)$ is effective.

math.AG2022★ 4 cited

The Classification of Rigid Hyperelliptic Fourfolds

Andreas Demleitner, Christian Gleissner

We provide a fine classification of rigid hyperelliptic manifolds in dimension four up to biholomorphism and diffeomorphism. These manifolds are explicitly described as finite étal…

math.AG2022

The Violation of the Lipman-Zariski conjecture in positive characteristic

Patrick Graf

We study the failure of the Lipman-Zariski conjecture in positive characteristic. For rational double points, the conjecture holds true except for a short finite list of exceptions…

math.AG2022

Torus Actions on Quotients of Affine Spaces

Ana-Maria Brecan, Hans Franzen

We study the locus of fixed points of a torus action on a GIT quotient of a complex vector space by a reductive complex algebraic group which acts linearly. We show that, under the…

The Hesse pencil and polarizations of type (1,3) on Abelian surfaces

Pluricanonical Maps and the Fujita Conjecture

Singularities of normal quartic surfaces III (char=2, non-supersingular)

Manifolds with trivial Chern classes I: Hyperelliptic Manifolds and a question by Severi

On the 4-dimensional minimal model program for Kähler varieties

The Nonvanishing problem for varieties with nef anticanonical bundle

The Classification of Rigid Hyperelliptic Fourfolds

The Violation of the Lipman-Zariski conjecture in positive characteristic

Torus Actions on Quotients of Affine Spaces

The Hesse pencil and polarizations of type $(1, 3)$ on Abelian surfaces

On the $4$ -dimensional minimal model program for Kähler varieties