Séminaires : Séminaire de géométrie algébrique

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Email des responsables : frederic.han@imj-prg.fr
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Le jeudi à 14h.
septembre-décembre Sophie-Germain, janvier-mars ENS, avril-juin Jussieu

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Orateur(s) David Holmes - ,
Titre The locus where a line bundle is trivial
Horaire16:00 à 17:00

Given a line bundle L on a family of curves C, smooth and proper over a base scheme S, it is natural to study the locus of points of S where L is trivial. When one tries to extend to a family of stable curves, this ends up naturally yielding a cycle, not on S itself, but rather on a (log) blowup of S. One can choose to push down to S, but for some purposes the cycle on the blowup is the more fundamental object. I will describe two ways to compute the resulting class, known as the logarithmic double ramification cycle. This is joint work with Alessandro Chiodo