Adams operations on matrix factorizations

Michael K. Brown; Claudia Miller; Peder Thompson; Mark E. Walker

doi:10.2140/ant.2017.11.2165

Adams operations on matrix factorizations

Michael K. Brown, Claudia Miller, Peder Thompson, Mark E. Walker

Department of Mathematics

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

5 Scopus citations

Abstract

We define Adams operations on matrix factorizations, and we show these operations 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.

Original language	English (US)
Pages (from-to)	2165-2192
Number of pages	28
Journal	Algebra and Number Theory
Volume	11
Issue number	9
DOIs	https://doi.org/10.2140/ant.2017.11.2165
State	Published - 2017

Keywords

Adams operations
Hochster’s theta pairing
Matrix factorizations

ASJC Scopus subject areas

Algebra and Number Theory

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10.2140/ant.2017.11.2165

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title = "Adams operations on matrix factorizations",

abstract = "We define Adams operations on matrix factorizations, and we show these operations enjoy analogues of several key properties of the Adams operations on perfect complexes with support developed by Gillet and Soul{\'e}. As an application, we give a proof of a conjecture of Dao and Kurano concerning the vanishing of Hochster{\textquoteright}s θ pairing.",

keywords = "Adams operations, Hochster{\textquoteright}s theta pairing, Matrix factorizations",

author = "Brown, {Michael K.} and Claudia Miller and Peder Thompson and Walker, {Mark E.}",

note = "Publisher Copyright: {\textcopyright} 2017 Mathematical Sciences Publishers.",

year = "2017",

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AU - Thompson, Peder

AU - Walker, Mark E.

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AB - We define Adams operations on matrix factorizations, and we show these operations 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.

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KW - Hochster’s theta pairing

KW - Matrix factorizations

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Adams operations on matrix factorizations

Abstract

Keywords

ASJC Scopus subject areas

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