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SUMMARY:Alexander Degtyarev (Bilkent)
DTSTART:20251212T124000Z
DTEND:20251212T134000Z
DTSTAMP:20260423T021150Z
UID:OBAGS/77
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OBAGS/77/">A
 utomorphisms of sextic $K3$-surfaces</a>\nby Alexander Degtyarev (Bilkent)
  as part of ODTU-Bilkent Algebraic Geometry Seminars\n\n\nAbstract\n$K3$-s
 urfaces play the role of elliptic curves in the realm of algebraic surface
 s. They are sophisticated enough to produce interesting and meaningful res
 ults that may hint possible generalizations\, yet simple enough to make th
 eir study feasible. One remarkable feature of $K3$-surfaces is that\, amon
 g all complete intersections of dimension at least two\, they are the only
  ones whose group of projective automorphisms may (and typically is) much 
 smaller than their group of birational automorphisms.\n\nI will discuss a 
 particular example of sextic $K3$-surfaces and a particular construction o
 f non-projective automorphisms\, related to lines. In particular\, it will
  be shown that\, whenever a sextic has at least two lines\, its group of b
 irational automorphisms is infinite.\n\nThis is a joint work with Igor Dol
 gachev\, Shigeyuki Kondo\, and Slawomir Rams.\n
LOCATION:https://researchseminars.org/talk/OBAGS/77/
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