GAGA theorems

Jack Hall

doi:10.1016/j.matpur.2023.05.004

GAGA theorems

Jack Hall

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

1 Scopus citations

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

Access to Document

10.1016/j.matpur.2023.05.004

Cite this

@article{ff2c5e471d3b4569a6dbea0006c16ad0,

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.",

keywords = "Algebraization, Analytic spaces, Coherent sheaves",

author = "Jack Hall",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier Masson SAS",

year = "2023",

month = jul,

doi = "10.1016/j.matpur.2023.05.004",

language = "English (US)",

volume = "175",

pages = "109--142",

journal = "Journal des Mathematiques Pures et Appliquees",

issn = "0021-7824",

publisher = "Elsevier Masson s.r.l.",

}

TY - JOUR

T1 - GAGA theorems

AU - Hall, Jack

PY - 2023/7

Y1 - 2023/7

N2 - 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.

AB - 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.

KW - Algebraization

KW - Analytic spaces

KW - Coherent sheaves

UR - https://www.scopus.com/pages/publications/85160700792

UR - https://www.scopus.com/pages/publications/85160700792#tab=citedBy

U2 - 10.1016/j.matpur.2023.05.004

DO - 10.1016/j.matpur.2023.05.004

M3 - Article

AN - SCOPUS:85160700792

SN - 0021-7824

VL - 175

SP - 109

EP - 142

JO - Journal des Mathematiques Pures et Appliquees

JF - Journal des Mathematiques Pures et Appliquees

ER -

GAGA theorems

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this