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.
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Let ''X'' be a smooth [[algebraic surface]] and ''L'' be an [[ample line bundle]] on ''X'' of degree&nbsp;''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}}

Latest revision as of 05:10, 22 September 2014

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