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Adams operations on matrix factorizations
exas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA .ORCID iD: 0000-0003-2714-9342
2017 (English)In: Algebra & Number Theory, ISSN 1937-0652, E-ISSN 1944-7833, Vol. 11, no 9, p. 2165-2192Article in journal (Refereed) Published
Abstract [en]

We define Adams operations on matrix factorizations, and we show these op- erations enjoy analogues of several key properties of the Adams operations on perfect complexes with support developed by Gillet and Soulé. As an application, we give a proof of a conjecture of Dao and Kurano concerning the vanishing of Hochster’s θ pairing. 

Place, publisher, year, edition, pages
2017. Vol. 11, no 9, p. 2165-2192
Keywords [en]
Adams operations, matrix factorizations, Hochster’s theta pairing
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-64385DOI: 10.2140/ant.2017.11.2165ISI: 000419992200006Scopus ID: 2-s2.0-85038220165OAI: oai:DiVA.org:mdh-64385DiVA, id: diva2:1801333
Available from: 2023-09-29 Created: 2023-09-29 Last updated: 2023-11-24Bibliographically approved

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Thompson, Peder

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