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Displaying 41 – 60 of 111

Finite subschemes of abelian varieties and the Schottky problem

Martin G. Gulbrandsen, Martí Lahoz (2011)

Annales de l’institut Fourier

The Castelnuovo-Schottky theorem of Pareschi-Popa characterizes Jacobians, among indecomposable principally polarized abelian varieties $(A, Θ)$ of dimension $g$ , by the existence of $g + 2$ points $Γ \subset A$ in special position with respect to $2 Θ$ , but general with respect to $Θ$ , and furthermore states that such collections of points must be contained in an Abel-Jacobi curve. Building on the ideas in the original paper, we give here a self contained, scheme theoretic proof of the theorem, extending it to finite, possibly...

Galois descent and twists of an abelian variety

Masanari Kida (1995)

Acta Arithmetica

G-fonctions et théorème d'irreductibilite de Hilbert

Pierre Debes (1986)

Acta Arithmetica

Good and Stable Reduction of Abelian Varieties.

Frans Oort (1973/1974)

Manuscripta mathematica

Heights and the specialization map for families of abelian varieties.

Joseph H. Silverman (1983)

Journal für die reine und angewandte Mathematik

Hodge classes on self-products of a variety with an automorphism

Chad Schoen (1988)

Compositio Mathematica

Integral points of abelian varieties over function fields of characteristic zero.

Alexandru Buium, José Felipe Voloch (1993)

Mathematische Annalen

Iwasawa L-Functions of Varieties over Algebraic Number Fields.

Peter Schneider (1983)

Inventiones mathematicae

Iwasawa-theory of abelian varieties at primes of non-ordinary reduction.

Heiko Knospe (1995)

Manuscripta mathematica

Les points rationnels de $X_{0} (37)$

Jacques Vélu (1974)

Mémoires de la Société Mathématique de France

Local Flat Duality of Abelian Varieties.

Michal Bester (1978)

Mathematische Annalen

Motivic decomposition of abelian schemes and the Fourier transform.

Ch. Deninger, Jacob Murre (1991)

Journal für die reine und angewandte Mathematik

Néron models and tame ramification

Bas Edixhoven (1992)

Compositio Mathematica

Nombre de points des variétés de Shimura sur un corps fini

Laurent Clozel (1992/1993)

Séminaire Bourbaki

Non-supersingular hyperelliptic jacobians

Yuri G. Zarhin (2004)

Bulletin de la Société Mathématique de France

Let $K$ be a field of odd characteristic $p$ , let $f (x)$ be an irreducible separable polynomial of degree $n \geq 5$ with big Galois group (the symmetric group or the alternating group). Let $C$ be the hyperelliptic curve $y^{2} = f (x)$ and $J (C)$ its jacobian. We prove that $J (C)$ does not have nontrivial endomorphisms over an algebraic closure of $K$ if either $n \geq 7$ or $p \neq 3$ .

Normendomophsimen abelscher Varietäten.

Herbert Lange (1977)

Journal für die reine und angewandte Mathematik

On abelian subvarieties generated by symmetric correspondences.

G.P. Pirola, A. Alzati (1990)

Mathematische Zeitschrift

On coverings of simple abelian varieties

Olivier Debarre (2006)

Bulletin de la Société Mathématique de France

To any finite covering $f : Y \to X$ of degree $d$ between smooth complex projective manifolds, one associates a vector bundle $E_{f}$ of rank $d - 1$ on $X$ whose total space contains $Y$ . It is known that $E_{f}$ is ample when $X$ is a projective space ([Lazarsfeld 1980]), a Grassmannian ([Manivel 1997]), or a Lagrangian Grassmannian ([Kim Maniel 1999]). We show an analogous result when $X$ is a simple abelian variety and $f$ does not factor through any nontrivial isogeny $X^{'} \to X$ . This result is obtained by showing that $E_{f}$ is $M$ -regular in the...

On $k$ -very ampleness of tensor products of ample line bundles on abelian surfaces

Yoshiaki Fukuma (1999)

Rendiconti del Seminario Matematico della Università di Padova

On Non-Archimedean Representations of Abelian Varieties.

L. Gerritzen (1972)

Mathematische Annalen

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