Mayer–Vietoris squares in algebraic geometry

Jack Hall; David Rydh

doi:10.1112/jlms.12575

Mayer–Vietoris squares in algebraic geometry

Jack Hall, David Rydh

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

2 Scopus citations

Abstract

We consider various notions of Mayer–Vietoris squares in algebraic geometry. We use these to generalize a number of gluing and push out results of Moret-Bailly, Ferrand–Raynaud, Joyet and Bhatt. An important intermediate step is Gabber's rigidity theorem for henselian pairs, which our methods give a new proof of.

Original language	English (US)
Pages (from-to)	1583-1612
Number of pages	30
Journal	Journal of the London Mathematical Society
Volume	107
Issue number	5
DOIs	https://doi.org/10.1112/jlms.12575
State	Published - May 2023
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1112/jlms.12575

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title = "Mayer–Vietoris squares in algebraic geometry",

abstract = "We consider various notions of Mayer–Vietoris squares in algebraic geometry. We use these to generalize a number of gluing and push out results of Moret-Bailly, Ferrand–Raynaud, Joyet and Bhatt. An important intermediate step is Gabber's rigidity theorem for henselian pairs, which our methods give a new proof of.",

author = "Jack Hall and David Rydh",

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AU - Rydh, David

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AB - We consider various notions of Mayer–Vietoris squares in algebraic geometry. We use these to generalize a number of gluing and push out results of Moret-Bailly, Ferrand–Raynaud, Joyet and Bhatt. An important intermediate step is Gabber's rigidity theorem for henselian pairs, which our methods give a new proof of.

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DO - 10.1112/jlms.12575

M3 - Article

AN - SCOPUS:85151950801

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Mayer–Vietoris squares in algebraic geometry

Abstract

ASJC Scopus subject areas

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