Takeshi Saito - Characteristic cycle of an \ell-adic sheaf
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 2017-06-15

Abstract:
The characteristic cycle of an L-adic sheaf on a smooth variety over a perfect field is a Z-linear combination of irreducible components of the singular support, defined by Beilinson as a closed conical subset of the cotangent bundle.
It is an algebraic analogue of that studied by Kashiwara and Schapira in a transcendental setting. We discuss its functorial
property with respect to proper direct image.