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arXiv · 2412.03231

Six-Functor Formalisms II : The $\infty$-categorical compactification

Chirantan Chowdhury
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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 $\infty$-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.

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Chirantan Chowdhury. 2024-12-04. Six-Functor Formalisms II : The $\infty$-categorical compactification. https://arxiv.org/abs/2412.03231

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