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4 papers
Relations between values at -tuples of negative integers of twisted multivariable zeta series associated to polynomials of several variables
Marc De Crisenoy, Driss Essouabri
We give a new and very concise proof of the existence of a holomorphic continuation for a large class of twisted multivariable zeta functions. To do this, we use a simple method of…
Weil numbers generated by other Weil numbers and torsion fields of abelian varieties
Emmanuel Kowalski
Using properties of the Frobenius eigenvalues, we show that, in a precise sense, ``most'' isomorphism classes of (principally polarized) simple abelian varieties over a finite fiel…
Diophantine geometry and toric varieties
Patrice Philippon, Martin Sombra
We present some results on projective toric varieties which are relevant in Diophantine geometry. We interpret and study several invariants attached to these varieties in geometric…
Quelques aspects diophantiens des varietes toriques projectives
Patrice Philippon, Martin Sombra
Some diophantine aspects of projective toric varieties: We present several faces of projective toric varieties, of interest from the point of view of diophantine geometry. We make…