Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 039-02. Maximal Seshadri constants on arbitrary polarized surfaces
Manuscript map · lines 3365–3374
OpenAI@2026-10-07#rem:oai-p-039-02
Authors: OpenAI. Family 039.
Title: Maximal Seshadri constants on arbitrary polarized surfaces.
Abstract: We prove that, for every smooth integral complex projective surface S and every ample line bundle L, the multipoint Seshadri constant at r very general points equals ${}sqrt{L{}2/r}$ for every sufficiently large integer r. This resolves positively the qualitative Nagata–Biran conjecture for surfaces.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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