Resumen de Theta-regularity and log-canonical threshold

Morten Øygarden, Sofia Tirabassi

• We show that an inequality, proven by Küronya-Pintye, which governs the behavior of the log-canonical threshold of an ideal over Pn 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 Θ-regularity of Pareschi-Popa.