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Displaying 41 – 60 of 271

Counting rational points on del Pezzo surfaces with a conic bundle structure

Tim Browning, Michael Swarbrick Jones (2014)

Acta Arithmetica

For any number field k, upper bounds are established for the number of k-rational points of bounded height on non-singular del Pezzo surfaces defined over k, which are equipped with suitable conic bundle structures over k.

Courbes de Weil semi-stables de discriminant une puissance m-ième.

J. Oesterlé, J.-F. Mestre (1989)

Journal für die reine und angewandte Mathematik

Courbes elliptiques et symboles modulaires

Barry Mazur (1971/1972)

Séminaire Bourbaki

Courbes elliptiques, fonctions L , et tours cyclotomiques.

David E. ROHRLICH (1983/1984)

Seminaire de Théorie des Nombres de Bordeaux

Courbes sur une variété abélienne

Joseph Oesterlé (1983/1984)

Séminaire Bourbaki

Courbes sur une variété abélienne et points de torsion.

M. Raynaud (1983)

Inventiones mathematicae

Cubic surfaces with a Galois invariant double-six

Andreas-Stephan Elsenhans, Jörg Jahnel (2010)

Open Mathematics

We present a method to construct non-singular cubic surfaces over ℚ with a Galois invariant double-six. We start with cubic surfaces in the hexahedral form of L. Cremona and Th. Reye. For these, we develop an explicit version of Galois descent.

Cycles, L-functions and triple products of elliptic curves.

Chad Schoen, Jaap Top, Joe Buhler (1997)

Journal für die reine und angewandte Mathematik

Cyclotomie et valeurs de la fonction $Γ$

Guy Henniart (1987/1988)

Séminaire Bourbaki

Defects of cusp singularities and the classification of Hilbert modular threefolds.

H.G. Grundmann (1992)

Mathematische Annalen

Des obstructions globales à la descente des revêtements

J.-M. Couveignes, Nicolas Ros (2004)

Acta Arithmetica

Descente et principe de Hasse pour certaines variétés rationnelles.

Jean-Louis Colliot-Thélène, D. Coray (1980)

Journal für die reine und angewandte Mathematik

Dessins d'enfants and hubbard trees

Kevin M. Pilgrim (2000)

Annales scientifiques de l'École Normale Supérieure

Die arithmetische Struktur der rationalen Punkte auf Kurven vom Geschlecht Eins

S. Kotov (1979)

Acta Arithmetica

Diophantine approximations on projective spaces.

Gerd Faltings, Gisbert Wüstholz (1994)

Inventiones mathematicae

Distributions on Toroidal Groups.

Dan Kubert, Serge Lang (1976)

Mathematische Zeitschrift

Division fields of abelian varieties with complex multiplication

K. A. Ribet (1980)

Mémoires de la Société Mathématique de France

Double fibres and double covers: paucity of rational points

J.-L. Colliot-Thélène, A. N. Skorobogatov, Sir Peter Swinnerton-Dyer (1997)

Acta Arithmetica

Dualität bei abelschen Varietäten über reell abgeschlossenen Körpern.

Wulf-Dieter Geyer (1977)

Journal für die reine und angewandte Mathematik

Effective equidistribution of S-integral points on symmetric varieties

Yves Benoist, Hee Oh (2012)

Annales de l’institut Fourier

Let $K$ be a global field of characteristic not 2. Let $Z = H ∖ G$ be a symmetric variety defined over $K$ and $S$ a finite set of places of $K$ . We obtain counting and equidistribution results for the S-integral points of $Z$ . Our results are effective when $K$ is a number field.

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