{"id":"openai-math/Maximal-Multipoint-Seshadri-Constants-in-Higher-Dimensions","pdf":"https://github.com/openai/math/blob/main/preprints/Maximal-Multipoint-Seshadri-Constants-in-Higher-Dimensions-October-5-2026/main.pdf","url":"https://github.com/openai/math/tree/main/preprints/Maximal-Multipoint-Seshadri-Constants-in-Higher-Dimensions-October-5-2026","tags":["seshadri-constants","algebraic-geometry","multipoint","projective-varieties"],"score":0,"title":"Maximal Multipoint Seshadri Constants in Higher Dimensions","domain":"Algebraic and complex geometry","family":"039","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.AG","summary":"Let L be an ample line bundle on a smooth integral complex projective variety X of dimension n ≥ 3. We prove that there is a threshold $`r_0=r_0(X,L)`$ such that for every integer $`r\\ge r_0`$, the ordinary multipoint Seshadri constant at r very general points equals the volume bound $`(L^n/r)^{1/n}`$. This establishes the qualitative Nagata–Biran–Szemberg assertion in these dimensions.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-05","reactions":{},"formalized":false,"family_title":"Nagata’s conjecture and maximal Seshadri constants"}