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SUMMARY:Daniel Greb (University of Duisburg-Essen)
DTSTART:20201027T160000Z
DTEND:20201027T170000Z
DTSTAMP:20260423T021407Z
UID:ZAG/63
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/63/">Pro
 jective flatness over klt spaces and uniformisation of varieties with nef 
 anti-canonical divisor</a>\nby Daniel Greb (University of Duisburg-Essen) 
 as part of ZAG (Zoom Algebraic Geometry) seminar\n\n\nAbstract\nI will dis
 cuss a criterion for the projectivisation of a reflexive sheaf on a klt sp
 ace to be induced by a projective representation of the fundamental group 
 of the smooth locus. This criterion is then applied to give a characterisa
 tion of finite quotients of projective spaces and Abelian varieties by Q-C
 hern class (in)equalities and a suitable stability condition. This stabili
 ty condition is formulated in terms of a naturally defined extension of th
 e tangent sheaf by the structure sheaf. I will further examine cases in wh
 ich this stability condition is satisfied\, comparing it to K-semistabilit
 y and related notions. This is joint work with Stefan Kebekus and Thomas P
 eternell.\n
LOCATION:https://researchseminars.org/talk/ZAG/63/
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