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We prove that for any prime p there is a constant Cₚ > 0 such that for any n > 0 and for any p-power q there is a smooth, projective, absolutely irreducible curve over $_{q}$ of genus g ≤ Cₚqⁿ without points of degree smaller than n.

Analogues étales de la $p$ -tour des corps de classes

Jilali Assim (2003)

Journal de théorie des nombres de Bordeaux

Nous construisons un analogue «tordu» de la $p$ -tour de corps de classes d’un corps de nombres ( $p$ un nombre premier) et étudions ses liens avec la théorie d’Iwasawa. Le résultat principal donne un critère du type Golod et Shafarevich pour que la tour «tordue» soit infinie.

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An explicit upper bound for the number of solutions of the S-unit equation.

An extension of a result of C. J. Smyth to polynomials in several variables

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An extension of the theorem of Bauer and polynomials of certain special types

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An improvement of Lenstra's criterion for Euclidean number fields: The totally real case

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An infinite family of totally real number fields

An integral basis of the algebraic number field Q(...).

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An investigation of bounds for the regulator of quadratic fields.

An irreducibility criterion for polynomials in several variables

An Upper Bound for the ...-Invariant of Imaginary Abelian Fields.

An upper bound for the minimum genus of a curve without points of small degree

Analogues étales de la $p$ -tour des corps de classes

Analogues supérieurs du noyau sauvage

Analytic and arithmetic theory of semigroups with divisor theory

Analytic Class Number Formulas in Function Fields.

Currently displaying 281 – 300 of 3426