#### Vol. 11, No. 9, 2017

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

Vol. 11 (2017), No. 9, 2165–2192
##### 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 $\theta$ pairing.

##### Keywords
Adams operations, matrix factorizations, Hochster's theta pairing
##### Mathematical Subject Classification 2010
Primary: 13D15
Secondary: 13D02, 13D09, 13D22