Displaying similar documents to “Efficient construction of local parameters of irreducible components of an algebraic variety in nonzero characteristic.”

Points de hauteur bornée sur les hypersurfaces lisses des variétés toriques

Teddy Mignot (2016)

Acta Arithmetica

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We demonstrate the Batyrev-Manin Conjecture for the number of points of bounded height on hypersurfaces of some toric varieties whose rank of the Picard group is 2. The method used is inspired by the one developed by Schindler for the case of hypersurfaces of biprojective spaces and by Blomer and Brüdern for some hypersurfaces of multiprojective spaces. These methods are based on the Hardy-Littlewood circle method. The constant obtained in the final asymptotic formula is the one conjectured...

Points algébriques de degrés au plus 12 sur la quintique de Fermat

Thiéyacine Top, Oumar Sall (2015)

Acta Arithmetica

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We determine explicitly the set of algebraic points of degree at most 12 over ℚ on the Fermat quintic. This extends a previous result given by M. Klassen and P. Tzermias (1997), who described the set of algebraic points of degree at most 6 over ℚ.