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

Daniel Greb (University of Duisburg-Essen)

27-Oct-2020, 16:00-17:00 (3 years ago)

Abstract: I will discuss 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 criterion is then applied to give a characterisation of finite quotients of projective spaces and Abelian varieties by Q-Chern class (in)equalities and a suitable stability condition. This stability condition is formulated in terms of a naturally defined extension of the tangent sheaf by the structure sheaf. I will further examine cases in which this stability condition is satisfied, comparing it to K-semistability and related notions. This is joint work with Stefan Kebekus and Thomas Peternell.

algebraic geometry

Audience: researchers in the topic


ZAG (Zoom Algebraic Geometry) seminar

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