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SUMMARY:SAG: Inequalities of Miyaoka-type and Uniformisation of Minimal Va
 rieties of Intermediate Kodaira Dimension [Seminar Algebraic Geometry (SAG
 )]
DTSTART:20260521T083000Z
DTEND:20260521T093000Z
DTSTAMP:20260721T165600Z
UID:indico-event-1122@math-events.uni-bonn.de
DESCRIPTION:Speakers: Niklas Müller (EPFL)\n\nIn this talk we present\, f
 or any integers $0\\leq \\nu \\leq n$\, a set of inequalities satisfied by
  the Chern classes of any minimal complex projective variety of dimension 
 $n$ and numerical dimension $\\nu$. In the cases where $\\nu$ is either ve
 ry small or very large compared with $n$\, this recovers many previously k
 nown results\, notably of Miyaoka and others. We demonstrate that these in
 equalities are sharp by providing an explicit characterisation of those va
 rieties achieving the equality\; our proof\, in particular\, resolves the 
 Abundance conjecture in this situation. This talk is partly based on joint
  work with Masataka Iwai and Shin-ichi Matsumura.\n\nhttps://math-events.u
 ni-bonn.de/event/1122/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1122/
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