Serre spectral sequence: Difference between revisions
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In [[mathematics]], the '''Nagata–Biran''' conjecture, named after [[Masayoshi Nagata]] and [[Paul Biran]], is a generalisation of the [[Nagata conjecture]] to arbitrary polarised surfaces. | |||
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 | |||
:<math> \varepsilon(p_1,\ldots,p_r;X,L) = {d \over \sqrt{r}}.</math> | |||
==References== | |||
*http://mat.ap.krakow.pl/aapc/index.php/studmath/article/viewFile/48/41, page 3 of PDF. | |||
{{DEFAULTSORT:Nagata-Biran conjecture}} | |||
[[Category:Algebraic surfaces]] | |||
[[Category:Conjectures]] | |||
{{geometry-stub}} |
Revision as of 18:10, 5 December 2013
In mathematics, the Nagata–Biran conjecture, named after Masayoshi Nagata and Paul Biran, is a generalisation of the Nagata conjecture to arbitrary polarised surfaces.
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
References
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