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19962026
most citedThe hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations

1k citations

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Showing 2009 · math.NTShow all

14 papers · 2 filters

math.NT2009

Indices isotypiques des éléments cyclotomiques

Tatiana Beliaeva, Jean-Robert Belliard

Given a real abelian field, an odd prime and any Dirichlet character of we give a method for computing the -index $\displaystyle (H^1(G_S,\mathbb{Z}_p(r))^χ: C^F…

math.NT2009★ 1 cited

Zhang's conjecture and squares of abelian surfaces

F. Pazuki

We give in this paper some squares of abelian surfaces that are counterexamples to a conjecture formulated by Zhang about the intersection of subvarieties and preperiodic points.

math.NT2009

Quantitative Chevalley-Weil theorem for curves

Yuri Bilu, Marco Strambi, Andrea Surroca

The classical Chevalley-Weil theorem asserts that for an étale covering of projective varieties over a number field K, the discriminant of the field of definition of the fiber over…

math.NT2009★ 15 cited

The Many Faces of the Subspace Theorem (after Adamczewski, Bugeaud, Corvaja, Zannier...)

Yuri Bilu

During the last decade the Subspace Theorem found several quite unexpected applications, mainly in the Diophantine Analysis and in the Transcendence Theory. Among the great variety…

math.NT2009

Characterizing algebraic curves with infinitely many integral points

Yuri Bilu, Alvanos Paraskevas, Poulakis Dimitrios

A classical theorem of Siegel asserts that the set of S-integral points of an algebraic curve C over a number field is finite unless C has genus 0 and at most two points at infinit…

math.NT2009★ 1 cited

Global descent obstructions for varieties

Jean-Marc Couveignes, Emmanuel Hallouin

We show how to transport descent obstructions from the category of covers to the category of varieties. We deduce examples of curves having $\QQ$ as field of moduli, that admit mod…