矩阵分解的Adams运算

arXiv: K-Theory and Homology Pub Date : 2016-10-31 DOI:10.2140/ant.2017.11.2165

Michael K. Brown, C. Miller, Peder Thompson, M. Walker

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引用次数: 5

摘要

我们定义了矩阵分解上的Adams运算，并在Gillet-Soul 'e的论文“使用Adams运算的交集理论”中证明了这些运算具有完美复合体上Adams运算的几个关键性质的类似物。作为应用，我们给出了Dao-Kurano关于Hochster不变量消失的一个猜想的证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Adams Operations on Matrix Factorizations

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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arXiv: K-Theory and Homology

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