THETA-REGULARITY AND LOG-CANONICAL THRESHOLD

摘要

We show that an inequality, proven by Ktironya-Pintye, which governs the behavior of the log-canonical threshold of an ideal over 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.