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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Mather–Jacobian singularities under generic linkage
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by Wenbo Niu PDF
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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Additional Information
  • Wenbo Niu
  • Affiliation: Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701
  • MR Author ID: 776949
  • Email: wenboniu@uark.edu
  • 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
  • © Copyright 2017 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 370 (2018), 4015-4028
  • MSC (2010): Primary 13C40, 14M06
  • DOI: https://doi.org/10.1090/tran/7065
  • MathSciNet review: 3811518