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SUMMARY:Slawomir Rams (Jagiellonian)
DTSTART:20251114T124000Z
DTEND:20251114T134000Z
DTSTAMP:20260423T035730Z
UID:OBAGS/73
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OBAGS/73/">M
 aximal configurations of rational curves  on K3-surfaces of high degrees</
 a>\nby Slawomir Rams (Jagiellonian) as part of ODTU-Bilkent Algebraic Geom
 etry Seminars\n\n\nAbstract\nOne of unexpected consequences of the orbibun
 dle Miyaoka-Yau-Sakai  inequality is a bound  on the maximal number of rat
 ional degree-d curves on smooth complex  K3-surfaces of given degree obtai
 ned by Miyaoka in 2009. After recalling the necessary notions\,  in my tal
 k I will present various results concerning  the question whether the abov
 e bound is sharp for  rational (resp.  smooth rational) curves on K3-surfa
 ces  of high degree. \n\nBased on joint work with M. Schuett (Hannover) an
 d  A. Degtyarev (Ankara).\n
LOCATION:https://researchseminars.org/talk/OBAGS/73/
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