Theta-regularity and log-canonical threshold

Abstract

We show that an inequality, proven by Küronya-Pintye, which governs the behavior of the log-canonical threshold of an ideal over ${\mathbb{P}}^n$ and that of its Castelnuovo-Mumford regularity, can be applied to the setting of principally polarized abelian varieties by substituting the Castelnuovo-Mumford regularity with $\Theta$-regularity of Pareschi-Popa.

8 pages, a minor mistake appearing in the previous version corrected