Nagata–Biran conjecture
In mathematics, the Nagata–Biran conjecture, named after Masayoshi Nagata and Paul Biran, is a generalisation of Nagata's conjecture on curves to arbitrary polarised surfaces.
| Field | Algebraic geometry |
|---|---|
| Conjectured by | Paul Biran |
| Conjectured in | 1999 |
| Open problem | Yes |
| Consequences | Nagata's conjecture on curves |
Statement
Let X be a smooth algebraic surface and L be an ample line bundle on X of degree d. The Nagata–Biran conjecture states that for sufficiently large r the Seshadri constant satisfies
gollark: ***WHAT***
gollark: <@565075471012855820> If you have a query which can be answered by a search engine just use a search engine.
gollark: I suppose you could do one computer per, say, 32 modems.
gollark: Better than wasting server resources with an unreasonable amount of computers.
gollark: Just use full block modems to attach more modems to your computer; why use a bunch of computers for modem monitoring?
References
- Biran, Paul (1999), "A stability property of symplectic packing", Inventiones Mathematicae, 1 (1): 123–135, Bibcode:1999InMat.136..123B, doi:10.1007/s002220050306.
- Syzdek, Wioletta (2007), "Submaximal Riemann-Roch expected curves and symplectic packing", Annales Academiae Paedagogicae Cracoviensis, 6: 101–122, MR 2370584. See in particular page 3 of the pdf.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.