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arXiv · 2605.19353

Remarks on basepoint-freeness thresholds of polarized abelian surfaces

Atsushi Ito
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Abstract

We determine the basepoint-freeness threshold of a very general polarized abelian surface over the field of complex numbers. We also give the first example of a polarized abelian surface whose basepoint-freeness threshold is irrational.

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Atsushi Ito. 2026-05-19. Remarks on basepoint-freeness thresholds of polarized abelian surfaces. https://arxiv.org/abs/2605.19353

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