Six-Functor Formalisms II : The $\infty$-categorical compactification
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910804254654464 |
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| author | Chowdhury, Chirantan |
| author_facet | Chowdhury, Chirantan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_03231 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Six-Functor Formalisms II : The $\infty$-categorical compactification Chowdhury, Chirantan Algebraic Geometry Category Theory 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. |
| title | Six-Functor Formalisms II : The $\infty$-categorical compactification |
| topic | Algebraic Geometry Category Theory |
| url | https://arxiv.org/abs/2412.03231 |