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Adams Operations on Matrix Factorizations

Published 31 Oct 2016 in math.KT and math.AC | (1610.09907v1)

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-Soul\'e in their paper "Intersection Theory Using Adams Operations". As an application, we give a proof of a conjecture of Dao-Kurano concerning the vanishing of Hochster's theta invariant.

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