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Mather-Jacobian singularities under generic linkage

Author: Wenbo Niu
Journal: Trans. Amer. Math. Soc. 370 (2018), 4015-4028
MSC (2010): Primary 13C40, 14M06
Published electronically: December 20, 2017
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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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Additional Information

Wenbo Niu
Affiliation: Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701

Keywords: Mather--Jacobian singularities, linkage, general link
Received by editor(s): February 29, 2016
Received by editor(s) in revised form: August 25, 2016, and September 10, 2016
Published electronically: December 20, 2017
Additional Notes: This work was partially supported by AMS-Simons Travel Grants
Article copyright: © Copyright 2017 American Mathematical Society

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