论文标题

在某些相干矩阵因子化的(CO)同源不变

On some (co)homological invariants of coherent matrix factorizations

论文作者

Pippi, Massimo

论文摘要

我们在相干矩阵因子化的DG类别与某些绝对奇点的DG类别之间提供了等效性。作为一种应用,我们计算了相干矩阵因素化的DG类别的L-ADIC共同体,以及其Hochschild和周期性的循环同源性(仅在仿射情况下最后两个)。

We provide an equivalence between the dg category of coherent matrix factorizations and a certain dg category of absolute singularities. As an application, we compute the l-adic cohomology of the dg category of coherent matrix factorizations, as well as its Hochschild and periodic cyclic homologies (these last two only in the affine case).

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