Log canonical thresholds of generic links of generic determinantal varieties

Kim, Youngsu; Miller, Lance; Niu, Wenbo

doi:10.1090/proc/15416

Log canonical thresholds of generic links of generic determinantal varieties
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by Youngsu Kim, Lance Edward Miller and Wenbo Niu PDF

Proc. Amer. Math. Soc. 149 (2021), 2777-2787 Request permission

Abstract:

The article concerns the behavior of determinantal varieties under generic linkage. In particular, it was shown that one has a general inequality (see Wenbo Niu [Amer. J. Math. 136 (2014), pp. 1665–1691]) of log canonical thresholds on passing to generic linkage. It is immediate to verify this can be strict. Except a few special classes, it is not known under which conditions force the equality or strict inequality to occur. We demonstrate determinental varieties constitute a class of varieties for which equality is attained.

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