GAGA theorems

Jack Hall

doi:10.1016/j.matpur.2023.05.004

GAGA theorems

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a new and unified GAGA theorem. This recovers all analytic and formal GAGA results in the literature, and is also valid in the non-noetherian setting. Our method can also be used to establish various Lefschetz theorems and comparison results for the Fargues–Fontaine curve.

Original language	English (US)
Pages (from-to)	109-142
Number of pages	34
Journal	Journal des Mathematiques Pures et Appliquees
Volume	175
DOIs	https://doi.org/10.1016/j.matpur.2023.05.004
State	Published - Jul 2023
Externally published	Yes

Keywords

Algebraization
Analytic spaces
Coherent sheaves

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1016/j.matpur.2023.05.004

Cite this

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title = "GAGA theorems",

abstract = "We prove a new and unified GAGA theorem. This recovers all analytic and formal GAGA results in the literature, and is also valid in the non-noetherian setting. Our method can also be used to establish various Lefschetz theorems and comparison results for the Fargues–Fontaine curve.",

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KW - Algebraization

KW - Analytic spaces

KW - Coherent sheaves

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ER -

GAGA theorems

Abstract

Keywords

ASJC Scopus subject areas

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