Local Rigidity and Six Functor Formalisms
Category Theory
2024-08-15 v1
Abstract
The coefficient categories of six functor formalisms are often locally rigid, and when this is the case, the exceptional pushforward and pullback adjunctions may be defined formally. In this short note it is shown that for f a proper map resp. an open embedding the well known formulas f_! = f_* resp. f_! = f_# may likewise be deduced formally.
Cite
@article{arxiv.2408.07564,
title = {Local Rigidity and Six Functor Formalisms},
author = {Adrian Clough},
journal= {arXiv preprint arXiv:2408.07564},
year = {2024}
}
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9 pages