Zobrazeno 1 - 10
of 193
pro vyhledávání: '"Graf, Patrick"'
Autor:
Graf, Patrick, Patel, Aryaman
Given a complex-projective klt pair $(X, \Delta)$ with standard coefficients and such that $K_X + \Delta$ is ample, we determine necessary and sufficient conditions for the pair $(X, \Delta)$ to be uniformized by a bounded symmetric domain. As an app
Externí odkaz:
http://arxiv.org/abs/2410.12753
Publikováno v:
C. R. Math. Acad. Sci. Paris 362, Special issue in memory of Jean-Pierre Demailly (2024), pp. 55-81
Let $(X, \Delta)$ be a compact K\"ahler klt pair, where $K_X + \Delta$ is ample or numerically trivial, and $\Delta$ has standard coefficients. We show that if equality holds in the orbifold Miyaoka-Yau inequality for $(X, \Delta)$, then its orbifold
Externí odkaz:
http://arxiv.org/abs/2305.04074
In this article we pursue the following main goals. In the first place, we establish the existence of "estimable" Hermite--Einstein metrics for stable reflexive coherent sheaves on compact normal K\"ahler spaces. If moreover the background variety ha
Externí odkaz:
http://arxiv.org/abs/2303.08773
Autor:
Graf, Patrick
Publikováno v:
J. Algebra 601 (2022), pp. 115-128
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. For log canonical surface singularities, the conjecture continues to
Externí odkaz:
http://arxiv.org/abs/2201.06646
Autor:
Kaiser, Michael
Publikováno v:
Zeitschrift für Historische Forschung, 2012 Jan 01. 39(1), 166-167.
Externí odkaz:
https://www.jstor.org/stable/43612018
Publikováno v:
Comment. Math. Helv. 97 (2022), pp. 769-799
This article gives a characterization of quotients of complex tori by finite groups acting freely in codimension two in terms of a numerical vanishing condition on the first and second Chern class. This generalizes results previously obtained by Greb
Externí odkaz:
http://arxiv.org/abs/2109.06738
Autor:
Graf, Patrick
Publikováno v:
Ann. Fac. Sci. Toulouse 32 (2023), pp. 893-909
Let $X$ be a compact K\"ahler fourfold with klt singularities and vanishing first Chern class, smooth in codimension two. We show that $X$ admits a Beauville-Bogomolov decomposition: a finite quasi-\'etale cover of $X$ splits as a product of a comple
Externí odkaz:
http://arxiv.org/abs/2101.06764
Let $X$ be a compact K\"ahler space with klt singularities and vanishing first Chern class. We prove the Bochner principle for holomorphic tensors on the smooth locus of $X$: any such tensor is parallel with respect to the singular Ricci-flat metrics
Externí odkaz:
http://arxiv.org/abs/2008.13008
Autor:
Graf, Patrick, Schwald, Martin
Publikováno v:
Forum of Mathematics, Sigma 9 (2021) e24
Let $X$ be a normal compact K\"ahler space with klt singularities and torsion canonical bundle. We show that $X$ admits arbitrarily small deformations that are projective varieties if its locally trivial deformation space is smooth. We then prove tha
Externí odkaz:
http://arxiv.org/abs/2001.06339
Autor:
Graf, Patrick
Publikováno v:
manuscripta math. 165 (2021), pp. 597-603
We show that any $p$-form on the smooth locus of a normal complex space extends to a resolution of singularities, possibly with logarithmic poles, as long as $p \le \mathrm{codim}_X (X_{\mathrm{sg}}) - 2$, where $c$ is the codimension of the singular
Externí odkaz:
http://arxiv.org/abs/1905.01983