Séminaires : Séminaire de géométrie algébrique

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

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Orateur(s) Alexander Kuznetsov - ,
Titre Categorical absorption of singularities and nodal nonfactorial Fano threefolds
Date04/03/2021
Horaire14:00 à 15:00
Diffusion
Résumezoom 396 751 8661, demander le mot de passe à Olivier Benoist, Olivier Debarre ou Frederic Han. Abstract: If X is a threefold with a nonfactorial ordinary double point, we show that there is a semiorthogonal decomposition of the derived category of X with two components, a "small" component responsible for the singularity (we say it "absorbs" the singularity of the derived category of X), and a "big" component that deforms to the derived category of a smoothing of X. We use this construction to relate the derived categories of Fano threefolds of index 2 and degree d to derived categories of Fano threefolds of index 1 and genus g = 2d + 2. This is joint work in progress with Evgeny Shinder.
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