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SUMMARY:Demir Eken (Michigan)
DTSTART:20261016T124000Z
DTEND:20261016T134000Z
DTSTAMP:20261026T214403Z
UID:OBAGS/87
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OBAGS/87/">P
 ositivity\, Adjoint Linear Systems\, and Jet Separation</a>\nby Demir Eken
  (Michigan) as part of ODTU-Bilkent Algebraic Geometry Seminars\n\n\nAbstr
 act\nPositivity of line bundles allows us to construct morphisms and proje
 ctive embeddings\, and more generally global sections with prescribed Tayl
 or coefficients. This raises a quantitative question: how much positivity 
 is needed for global generation\, very ampleness\, or separation of higher
 -order jets? In this expository talk\, I will discuss these questions for 
 adjoint line bundles $K_X+mA$ with $A$ ample\, starting from Fujita’s co
 njectures. I will also present global and local criteria for $k$-jet separ
 ation and the role of Seshadri constants in measuring local positivity.\n
LOCATION:https://researchseminars.org/talk/OBAGS/87/
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