Adams operations on matrix factorizations

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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.

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Brown, M. K., Miller, C., Thompson, P., & Walker, M. E. (2017). Adams operations on matrix factorizations. Algebra and Number Theory, 11(9), 2165–2192. https://doi.org/10.2140/ant.2017.11.2165

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