Wiles Defect for Modules and Criteria for Freeness-Reference-Cited by-同舟云学术

Wiles Defect for Modules and Criteria for Freeness

Published:2022-03-25 Issue:8 Volume:2023 Page:6901-6923
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Brochard Sylvain¹,Iyengar Srikanth B²,Khare Chandrashekhar B³

Affiliation:

1. IMAG , University of Montpellier, CNRS, Montpellier, France

2. Department of Mathematics , University of Utah, Salt Lake City, UT 84112, USA

3. Department of Mathematics , University of California, Los Angeles, CA 90095, USA

Abstract

Abstract Diamond proved a numerical criterion for modules over local rings to be free modules over complete intersection rings. We formulate a refinement of these results using the notion of Wiles defect. A key step in the proof is a formula that expresses the Wiles defect of a module in terms of the Wiles defect of the underlying ring.

Funder

National Science Foundation

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2023/8/6901/49863204/rnac052.pdf

Reference17 articles.

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2. Wiles defect for Hecke algebras that are not complete intersections;Böckle;Compos. Math.,2021

3. Wiles defect of Hecke algebras via local-global arguments;Böckle,2021

4. A freeness criterion without patching for modules over local rings;Brochard;J. Inst. Math. Jussieu,2021

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1. WILES DEFECT OF HECKE ALGEBRAS VIA LOCAL-GLOBAL ARGUMENTS;Journal of the Institute of Mathematics of Jussieu;2024-04-25

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