Adams operations on matrix factorizations

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

Research output: Contribution to journalArticle

1 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 languageEnglish (US)
Pages (from-to)2165-2192
Number of pages28
JournalAlgebra and Number Theory
Volume11
Issue number9
DOIs
StatePublished - Jan 1 2017

Keywords

  • Adams operations
  • Hochster’s theta pairing
  • Matrix factorizations

ASJC Scopus subject areas

  • Algebra and Number Theory

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