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arXiv · 1511.08822

The Miyaoka-Yau inequality and uniformisation of canonical models

Daniel Greb·Stefan Kebekus·Thomas Peternell·Behrouz Taji
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Abstract

We establish the Miyaoka-Yau inequality in terms of orbifold Chern classes for the tangent sheaf of any complex projective variety of general type with klt singularities and nef canonical divisor. In case equality is attained for a variety with at worst terminal singularities, we prove that the associated canonical model is the quotient of the unit ball by a discrete group action.

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Daniel Greb, Stefan Kebekus, Thomas Peternell, Behrouz Taji. 2019-02-13. The Miyaoka-Yau inequality and uniformisation of canonical models. https://doi.org/10.24033/asens.2414

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