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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Huybrechts, Daniel / Hwang, Jun-Muk / Williamson, Geordie


IMPACT FACTOR 2018: 1.859

CiteScore 2018: 1.14

SCImago Journal Rank (SJR) 2018: 2.554
Source Normalized Impact per Paper (SNIP) 2018: 1.411

Mathematical Citation Quotient (MCQ) 2018: 1.55

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1435-5345
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Volume 2018, Issue 740

Issues

Stably uniform affinoids are sheafy

Kevin Buzzard / Alain Verberkmoes
Published Online: 2016-01-29 | DOI: https://doi.org/10.1515/crelle-2015-0089

Abstract

We develop some of the foundations of affinoid pre-adic spaces without Noetherian or finiteness hypotheses. We give explicit examples of non-adic affinoid pre-adic spaces, and also a new condition ensuring that the structure presheaf on Spa(R,R+) is a sheaf. This condition can be used to give a new proof that the spectrum of a perfectoid algebra is an adic space.

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About the article

Received: 2014-05-16

Revised: 2015-09-14

Published Online: 2016-01-29

Published in Print: 2018-07-01


Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2018, Issue 740, Pages 25–39, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: https://doi.org/10.1515/crelle-2015-0089.

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