Six-Functor Formalisms II : The $\infty$-categorical compactification
Algebraic Geometry
2025-01-30 v2 Category Theory
Abstract
This paper is part of a series of articles in which we reproduce the statements regarding the abstract six-functor formalism developed by Liu-Zheng. In this paper, we prove a theorem, which is an -categorical version for defining the exceptional pushforward functor in an abstract-six functor formalism. The article describes specific combinatorial simplicial sets related to compactifications and pullback squares. This theorem plays a key role in constructing the abstract six-functor formalism, which will be discussed in the forthcoming article.
Cite
@article{arxiv.2412.03231,
title = {Six-Functor Formalisms II : The $\infty$-categorical compactification},
author = {Chirantan Chowdhury},
journal= {arXiv preprint arXiv:2412.03231},
year = {2025}
}
Comments
Typos and minor mistakes in Proof of Theorem 4.2.1 and Theorem 5.2.1 have been fixed