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Remarks on basepoint-freeness thresholds of polarized abelian surfaces

Algebraic Geometry 2026-05-20 v1

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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Cite

@article{arxiv.2605.19353,
  title  = {Remarks on basepoint-freeness thresholds of polarized abelian surfaces},
  author = {Atsushi Ito},
  journal= {arXiv preprint arXiv:2605.19353},
  year   = {2026}
}

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11 pages