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Time: Friday, March 09, 2012, 17h30-18h30

Location: salle W

Mordell-Weil Generators for Cubic Surfaces

Samir Siksek (Warwick - Personal website)

Let C be a smooth plane cubic curve over the rationals. The Mordell--Weil Theorem can be restated as follows: there is a finite subset B of rational points such that all rational points can be obtained from this subset by successive tangent and secant constructions. It is conjectured that a minimal such B can be arbitrarily large; this is indeed the well-known conjecture that there are elliptic curves with arbitrarily large ranks. This talk is concerned with the corresponding problem for cubic surfaces.

 

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