English

Theta-regularity and log-canonical threshold

Algebraic Geometry 2021-01-15 v3

Abstract

We show that an inequality, proven by K\"uronya-Pintye, which governs the behavior of the log-canonical threshold of an ideal over Pn\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 Θ\Theta-regularity of Pareschi-Popa.

Cite

@article{arxiv.1806.00326,
  title  = {Theta-regularity and log-canonical threshold},
  author = {Morten Oygarden and Sofia Tirabassi},
  journal= {arXiv preprint arXiv:1806.00326},
  year   = {2021}
}

Comments

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

R2 v1 2026-06-23T02:16:04.458Z