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SUMMARY:Taro Sano (Kobe University)
DTSTART:20210316T100000Z
DTEND:20210316T110000Z
DTSTAMP:20260423T035820Z
UID:ZAG/103
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/103/">Bi
 rational boundedness of some Calabi-Yau hypersurfaces</a>\nby Taro Sano (K
 obe University) as part of ZAG (Zoom Algebraic Geometry) seminar\n\n\nAbst
 ract\nIt is well-known that complex projective K3 surfaces are connected b
 y analytic deformations\, but they are algebraically unbounded. Neverthele
 ss\, Reid\, Iano-Fletcher and Kollar-Johnson showed the finiteness of weig
 hted Calabi-Yau hypersurfaces. Motivated by this\, we study plt Calabi-Yau
  pairs (X\,D) and show finiteness of D in some cases. In particular\, we s
 how that anticanonical K3 surfaces form a birationally bounded family. We 
 also exhibit examples of K3 surfaces of a fixed degree whose birational co
 ntractions form an unbounded family\, thus the birational boundedness is o
 ptimal in a sense.\n
LOCATION:https://researchseminars.org/talk/ZAG/103/
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