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arXiv · 1610.09907

Adams Operations on Matrix Factorizations

Michael K. Brown·Claudia Miller·Peder Thompson·Mark E. Walker
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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-Soulé 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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Michael K. Brown, Claudia Miller, Peder Thompson, Mark E. Walker. 2016-10-31. Adams Operations on Matrix Factorizations. https://doi.org/10.2140/ant.2017.11.2165

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