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19922026
most citedThe World of the Complex Ginzburg-Landau Equation

2k citations

Showing 2020 · math.AGShow all

7 papers · 2 filters

math.AG2020★ 14 cited

Projectively flat KLT varieties

Daniel Greb, Stefan Kebekus, Thomas Peternell

In the context of uniformisation problems, we study projective varieties with klt singularities whose cotangent sheaf admits a projectively flat structure over the smooth locus. Ge…

math.AG2020★ 1 cited

A decomposition theorem for -Fano Kähler-Einstein varieties

Stéphane Druel, Henri Guenancia, Mihai Păun

Let be a -Fano variety admitting a Kähler-Einstein metric. We prove that up to a finite quasi-étale cover, splits isometrically as a product of Kähler-Einstein $…

math.AG2020★ 10 cited

Kähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups

Benoît Claudon, Patrick Graf, Henri Guenancia +1

Let be a compact Kähler space with klt singularities and vanishing first Chern class. We prove the Bochner principle for holomorphic tensors on the smooth locus of : any suc…

math.AG2020

Irregular Hodge numbers for rigid -connections

Konstantin Jakob, Stefan Reiter

Certain rigid irregular -connections constructed by the first-named author are related via pullbacks along a finite covering and Fourier transform to rigid local systems on a…

math.AG2020★ 3 cited

A Nonvanishing Conjecture for Cotangent Bundles

Andreas Höring, Thomas Peternell

In this paper we study the positivity of the cotangent bundle of projective manifolds. We conjecture that the cotangent bundle is pseudoeffective if and only the manifold has non-z…

math.AG2020★ 12 cited

Projective flatness over klt spaces and uniformisation of varieties with nef anti-canonical divisor

Daniel Greb, Stefan Kebekus, Thomas Peternell

We give a criterion for the projectivisation of a reflexive sheaf on a klt space to be induced by a projective representation of the fundamental group of the smooth locus. This cri…

math.AG2020★ 2 cited

The Kodaira problem for Kähler spaces with vanishing first Chern class

Patrick Graf, Martin Schwald

Let be a normal compact Kähler space with klt singularities and torsion canonical bundle. We show that admits arbitrarily small deformations that are projective varieties i…