Ball quotients, hyperelliptic varieties, and projective spaces are
characterized by their Chern classes, as the varieties where the Miyaoka-Yau
inequality becomes an equality. Ball quotients, Abelian varieties, and
projective spaces are also characterized topologically: if a complex,
projective manifold $X$ is homeomorphic to a variety of this type, then $X$ is
itself of this type. In this paper, similar results are established for
projective varieties with klt singularities that are homeomorphic to singular
ball quotients, quotients of Abelian varieties, or projective spaces.
Description
[2309.14121] Miyaoka-Yau inequalities and the topological characterization of certain klt varieties
%0 Generic
%1 greb2023miyaokayau
%A Greb, Daniel
%A Kebekus, Stefan
%A Peternell, Thomas
%D 2023
%K miyaoka-yau
%T Miyaoka-Yau inequalities and the topological characterization of certain
klt varieties
%U http://arxiv.org/abs/2309.14121
%X Ball quotients, hyperelliptic varieties, and projective spaces are
characterized by their Chern classes, as the varieties where the Miyaoka-Yau
inequality becomes an equality. Ball quotients, Abelian varieties, and
projective spaces are also characterized topologically: if a complex,
projective manifold $X$ is homeomorphic to a variety of this type, then $X$ is
itself of this type. In this paper, similar results are established for
projective varieties with klt singularities that are homeomorphic to singular
ball quotients, quotients of Abelian varieties, or projective spaces.
@misc{greb2023miyaokayau,
abstract = {Ball quotients, hyperelliptic varieties, and projective spaces are
characterized by their Chern classes, as the varieties where the Miyaoka-Yau
inequality becomes an equality. Ball quotients, Abelian varieties, and
projective spaces are also characterized topologically: if a complex,
projective manifold $X$ is homeomorphic to a variety of this type, then $X$ is
itself of this type. In this paper, similar results are established for
projective varieties with klt singularities that are homeomorphic to singular
ball quotients, quotients of Abelian varieties, or projective spaces.},
added-at = {2023-09-26T13:21:30.000+0200},
author = {Greb, Daniel and Kebekus, Stefan and Peternell, Thomas},
biburl = {https://www.bibsonomy.org/bibtex/267af7a24bab7a590b361c9e1e17107f7/amathematician},
description = {[2309.14121] Miyaoka-Yau inequalities and the topological characterization of certain klt varieties},
interhash = {bf2e42d718270db6fad5beb19b2aa367},
intrahash = {67af7a24bab7a590b361c9e1e17107f7},
keywords = {miyaoka-yau},
note = {cite arxiv:2309.14121Comment: 16 pages},
timestamp = {2023-09-26T13:21:30.000+0200},
title = {Miyaoka-Yau inequalities and the topological characterization of certain
klt varieties},
url = {http://arxiv.org/abs/2309.14121},
year = 2023
}