Mather–Jacobian singularities under generic linkage

Niu, Wenbo

doi:10.1090/tran/7065

Mather–Jacobian singularities under generic linkage
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Trans. Amer. Math. Soc. 370 (2018), 4015-4028 Request permission

Abstract:

In this paper, we prove that Mather–Jacobian (MJ) singularities are preserved under the process of generic linkage. More precisely, let $X$ be a variety with MJ-canonical (resp., MJ-log canonical) singularities. Then a generic link of $X$ is also MJ-canonical (resp., MJ-log canonical). This further leads us to a result on minimal log discrepancies under generic linkage.

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