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SUMMARY:Florin Ambro (Simion Stoilow)
DTSTART:20220127T100000Z
DTEND:20220127T110000Z
DTSTAMP:20260423T005801Z
UID:notts_ag/88
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/88/
 ">On Seshadri constants</a>\nby Florin Ambro (Simion Stoilow) as part of O
 nline Nottingham algebraic geometry seminar\n\n\nAbstract\nThe Seshadri co
 nstant of a polarized variety $(X\,L)$ at a point $x$ measures how positiv
 e is the polarization $L$ at $x$. If $x$ is very general\, the Seshadri co
 nstant does not depend on $x$\, and captures global information on $X$. In
 spired by ideas from the Geometry of Numbers\, we introduce in this talk s
 uccessive Seshadri minima\, such that the first one is the Seshadri consta
 nt at a point\, and the last one is the width of the polarization at the p
 oint. Assuming the point is very general\, we obtain two results: a)  the 
 product of the successive Seshadri minima is proportional to the volume of
  the polarization\; b) if $X$ is toric\, the $i$-th successive Seshadri co
 nstant is proportional to the $i$-th successive minima of a suitable $0$-s
 ymmetric convex body. Based on joint work with Atsushi Ito.\n
LOCATION:https://researchseminars.org/talk/notts_ag/88/
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