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SUMMARY:Eduardo Esteves (IMPA)
DTSTART:20200902T183000Z
DTEND:20200902T200000Z
DTSTAMP:20260423T021706Z
UID:BRAG/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BRAG/19/">De
 generations of line bundles along curves</a>\nby Eduardo Esteves (IMPA) as
  part of Brazilian algebraic geometry seminar\n\n\nAbstract\nA family of l
 ine bundles along a family of smooth curves parameterized by the punctured
  disk can be extended in several ways over the limit stable curve of the f
 amily. We show that the collection of all extensions can be naturally para
 meterized by the torus quotient of the arrangement of toric varieties asso
 ciated to a certain polytope decomposition of a certain Euclidean space. W
 e characterize all polytope decompositions arising this way in terms of co
 mbinatorial data of the stable curve. At the end I will describe how these
  results may be used to construct new compactifications of Jacobians of st
 able curves and address the problem raised by Eisenbud and Harris of const
 ructing a useful moduli of limit linear series over the moduli of stable c
 urves. This is an ongoing joint work with Omid Amini (École Polytechnique
 ).\n
LOCATION:https://researchseminars.org/talk/BRAG/19/
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