Adams Operations on Matrix Factorizations
Adams Operations on Matrix Factorizations
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矩阵分解的 Adams 运算
DOI：
10.2140/ant.2017.11.2165
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
M. Walker
中科院分区：
文献类型：
--
作者：
Michael K. Brown;C. Miller;Peder Thompson;M. Walker
定义了矩阵因式分解上的Adams运算，并证明了这些运算与Gillet-Soul在其《基于Adams运算的交集理论》一文中提出的关于完全复形上的Adams运算的几个关键性质类似，作为应用，我们证明了Dao-Kurano关于Hochster的theta不变量消失的猜想.
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.