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Displaying 41 – 60 of 98

The Néron Fiber of Abelian Varieties with Potential Good Reduction.

Joseph H. Silverman (1983)

Mathematische Annalen

The Neron model for families of intermediate jacobians acquiring “algebraic” singularities

Herbert Clemens (1983)

Publications Mathématiques de l'IHÉS

The optimality of the Bounded Height Conjecture

Evelina Viada (2009)

Journal de Théorie des Nombres de Bordeaux

In this article we show that the Bounded Height Conjecture is optimal in the sense that, if $V$ is an irreducible subvariety with empty deprived set in a power of an elliptic curve, then every open subset of $V$ does not have bounded height. The Bounded Height Conjecture is known to hold. We also present some examples and remarks.

The $p$ -adic finite Fourier transform and theta functions.

Van Steen, G. (1997)

Bulletin of the Belgian Mathematical Society - Simon Stevin

The $p$ -rank stratification of Artin-Schreier curves

Rachel Pries, Hui June Zhu (2012)

Annales de l’institut Fourier

We study a moduli space ${𝒜𝒮}_{g}$ for Artin-Schreier curves of genus $g$ over an algebraically closed field $k$ of characteristic $p$ . We study the stratification of ${𝒜𝒮}_{g}$ by $p$ -rank into strata ${𝒜𝒮}_{g . s}$ of Artin-Schreier curves of genus $g$ with $p$ -rank exactly $s$ . We enumerate the irreducible components of ${𝒜𝒮}_{g, s}$ and find their dimensions. As an application, when $p = 2$ , we prove that every irreducible component of the moduli space of hyperelliptic $k$ -curves with genus $g$ and $2$ -rank $s$ has dimension $g - 1 + s$ . We also determine all pairs $(p, g)$ for...

The periods of abelian varieties with complex multiplication and the spectral values of certain zeta functions

Goro Shimura (1980)

Mémoires de la Société Mathématique de France

The Picard group of a scheme over an Artin ring

Joseph Lipman (1976)

Publications Mathématiques de l'IHÉS

The polynomial $x^{3} + x^{2} + x - 1$ and elliptic curves of conductor 11

Alfred J. Van der Poorten (1976/1977)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

The principal degenerations of abelian surfaces and their polarisations.

Steven H. Weintraub, Klaus Hulek (1990)

Mathematische Annalen

The Schottky-Jung theorem for Mumford curves

Guido Van Steen (1989)

Annales de l'institut Fourier

The Schottky-Jung proportionality theorem, from which the Schottky relation for theta functions follows, is proved for Mumford curves, i.e. curves defined over a non-archimedean valued field which are parameterized by a Schottky group.