Nagata–Biran conjecture

Source placement record

Nagata–Biran conjecture that if X {\displaystyle X} {\displaystyle X} is a smooth algebraic surface and L {\displaystyle L} {\displaystyle L} is an ample line bundle on X {\displaystyle X} {\displaystyle X} of degree d {\displaystyle d} {\displaystyle d}, then for sufficiently large r {\displaystyle r} {\displaystyle r}, the Seshadri constant satisfies ε ( p 1 , … , p r ; X , L ) = d / r {\displaystyle \varepsilon (p_{1},\ldots ,p_{r};X,L)=d/{\sqrt {r}}} {\displaystyle \varepsilon (p_{1},\ldots ,p_{r};X,L)=d/{\sqrt {r}}}.

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Source status: Open
Field: Geometry · Algebraic geometry
Record type: Revision-pinned source placement
Verification: Source-index reviewed
Source grade: secondary
Reviewed: 2026-07-27T18:04:33.834Z

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Wikipedia list subsection — Exact Geometry › Algebraic geometry subsection in the revision-pinned source.
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Pinned source revision 1366281547 — Revision-pinned snapshot from 7/27/2026.