Séminaires : Séminaire de géométrie algébrique

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Le jeudi à 14h.
septembre-décembre Sophie-Germain, janvier-mars ENS, avril-juin Jussieu

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Orateur(s) John Christian Ottem - ,
Titre Fano varieties and strong coniveau
Horaire14:00 à 15:00

A cohomology class of a smooth complex variety of dimension n is said to be of coniveau at least c if it vanishes on the complement of a closed subvariety of codimension at least c, and of strong coniveau at least c if it comes about by proper pushforward from the cohomology of a smooth variety of dimension at most n–c. The notions of coniveau and strong coniveau each define a filtration on the cohomology groups of a variety, and these filtrations are known to coincide in many cases. In the talk, I will explain a construction of some new examples where the filtrations differ, which are found in joint work with J. V. Rennemo.

SalleENS Salle W