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arXiv · 1806.00326

Theta-regularity and log-canonical threshold

Morten Oygarden·Sofia Tirabassi
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Abstract

We show that an inequality, proven by K\"uronya-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.

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Morten Oygarden, Sofia Tirabassi. 2018-06-01. Theta-regularity and log-canonical threshold. https://doi.org/10.7146/math.scand.a-115971

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