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SUMMARY:Hans-Christian Graf von Bothmer (Hamburg)
DTSTART:20200623T130000Z
DTEND:20200623T140000Z
DTSTAMP:20260422T223902Z
UID:WarwickAG/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WarwickAG/9/
 ">Rigid\, not infinitesimally rigid surfaces with ample canonical bundle</
 a>\nby Hans-Christian Graf von Bothmer (Hamburg) as part of Warwick algebr
 aic geometry seminar\n\n\nAbstract\nIt was a long-standing problem of Morr
 ow and Kodaira whether there are compact complex manifolds X with Def(X) a
  non reduced point. The first examples answering this question in the affi
 rmative were given by Bauer and Pignatelli in 2018. As explained by Robert
 o Pignatelli in this seminar some weeks ago\, these are certain surfaces o
 f general type that have nodal canonical models. These canonical models ar
 e rigid AND infinitesimally rigid\, while their desingularizations are sti
 ll rigid\, but not infinitesimally rigid anymore. One can therefore ask\, 
 if this situation is typical for rigid\, not infinitesimally rigid surface
 s of general type\, or if it is possible to have examples with smooth cano
 nical models. We answer this question also in the affirmative by construct
 ing such a surface X via line arrangements and abelian covers. This constr
 uction was inspired by Vakil's version of „Murphy’s law in algebraic g
 eometry“. (This is joint work with Christian Böhning and Roberto Pignat
 elli.)\n
LOCATION:https://researchseminars.org/talk/WarwickAG/9/
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