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PIRSA:16040080

Towards a general description of derived self-intersections

APA

Grivaux, J. (2016). Towards a general description of derived self-intersections. Perimeter Institute. https://pirsa.org/16040080

Julien Grivaux

Aix-Marseille University

Talk number
PIRSA:16040080
Talk Type
Abstract
Thanks to a result of Arinkin and Cāldāru, the derived self-intersection of a closed smooth subscheme of an ambiant scheme (over a field of characteristic zero) is a formal object if and only if the conormal bundle of the subscheme extends to a locally free sheaf at the first order. In this talk, we will explain a program as well as new results in order to describe these derived self-intersections in the non-formal case.