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SUMMARY:Nikolaos Tziolas (University of Cyprus)
DTSTART:20220314T140000Z
DTEND:20220314T150000Z
DTSTAMP:20260423T021351Z
UID:GANT/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GANT/5/">The
  role of automorphisms in the classification of surfaces of general type i
 n characteristic $p>0$.</a>\nby Nikolaos Tziolas (University of Cyprus) as
  part of Greek Algebra & Number Theory Seminar\n\n\nAbstract\nThe classifi
 cation of varieties of general type is one of the fundamental problems of 
 algebraic geometry. In characteristic zero it is known that varieties of g
 eneral type with fixed volume have a coarse moduli space of finite type ov
 er the base field and the corresponding moduli stack is Deligne-Mumford. I
 n positive characteristic the first property is at the moment unknown if i
 t holds in dimensions at least $3$ and the second fails in general in dime
 nsion at least $2$.\n\nIn this talk I will explain how the failure of the 
 second property is related to the  existence of varieties of general type 
 with non reduced automorphism scheme. I will present explicit examples of 
 such surfaces and present results regarding their geometry and the structu
 re of their automorphism scheme.\n
LOCATION:https://researchseminars.org/talk/GANT/5/
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