A motivation for some local cohomologies
Commutative Algebra
2019-04-30 v1 Algebraic Geometry
Abstract
We explain how some results of M. Nori (on motives) and F. Ivorra (on perverse motives) can be used to define "motivic" versions of Lyubeznik numbers, a set of numerical invariants for local rings. We also discuss on additional structures that might be put on some local cohomology modules (besides those of D- or F-module). This note is mainly expository, it is an expanded version of my talk at the FACARD workshop in Barcelona, on January 2019.
Cite
@article{arxiv.1904.12216,
title = {A motivation for some local cohomologies},
author = {Ricardo Garcia Lopez},
journal= {arXiv preprint arXiv:1904.12216},
year = {2019}
}