{"id":"openai-math/Maximal-Seshadri-Constants-on-Arbitrary-Polarized-Surfaces","pdf":"https://github.com/openai/math/blob/main/preprints/Maximal-Seshadri-Constants-on-Arbitrary-Polarized-Surfaces-September-23-2026/main.pdf","url":"https://github.com/openai/math/tree/main/preprints/Maximal-Seshadri-Constants-on-Arbitrary-Polarized-Surfaces-September-23-2026","tags":["seshadri-constants","algebraic-surfaces","algebraic-geometry","multipoint"],"score":0,"title":"Maximal Seshadri constants on arbitrary polarized surfaces","domain":"Algebraic and complex geometry","family":"039","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":true,"family_title":"Nagata’s conjecture and maximal Seshadri constants"}