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UID:news665@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20190212T225215
DTSTART;TZID=Europe/Zurich:20161021T103000
SUMMARY:Seminar Algebra and Geometry: Jesus Martinez (MPIM Bonn)
DESCRIPTION:We study variations of GIT quotients of log pairs (X\,D) where 
 X is a  hypersurface of some fixed degree and D is a hyperplane section. G
 IT is  known to provide a finite number of possible compactifications of s
 uch  pairs\, depending on one parameter. Any two such compactifications ar
 e  related by birational transformations. We describe an algorithm to stud
 y  the stability of the Hilbert scheme of these pairs\, and apply our  alg
 orithm to the case of cubic surfaces. Finally\, we relate these  compactif
 ications to the (conjectural) moduli space of logK-semistable  pairs showi
 ng that any log K-stable pair is an element of our moduli and  that there 
 is a canonically defined CM line bundle that polarizes our  moduli. This i
 s a joint work with Patricio Gallardo (University of  Georgia) and Cristia
 no Spotti (Aarhus University).
X-ALT-DESC: We study variations of GIT quotients of log pairs (X\,D) where 
 X is a  hypersurface of some fixed degree and D is a hyperplane section. G
 IT is  known to provide a finite number of possible compactifications of s
 uch  pairs\, depending on one parameter. Any two such compactifications ar
 e  related by birational transformations. We describe an algorithm to stud
 y  the stability of the Hilbert scheme of these pairs\, and apply our  alg
 orithm to the case of cubic surfaces. Finally\, we relate these  compactif
 ications to the (conjectural) moduli space of logK-semistable  pairs showi
 ng that any log K-stable pair is an element of our moduli and  that there 
 is a canonically defined CM line bundle that polarizes our  moduli. This i
 s a joint work with Patricio Gallardo (University of  Georgia) and Cristia
 no Spotti (Aarhus University).
DTEND;TZID=Europe/Zurich:20161021T120000
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