Modèles minimaux des variétés abéliennes sur les corps locaux et globaux
TL;DR: In this paper, the authors present a legal opinion on the use of commercial or impression systématiques in the context of the IHES agreement with the conditions générales d'utilisation.
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Abstract: © Publications mathématiques de l’I.H.É.S., 1964, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http:// www.ihes.fr/IHES/Publications/Publications.html) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
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Citations
•Journal Article
Abelian curves of small conductor.
TL;DR: In this article, it was shown that the global minimal Weierstrass model over the ring of integers Z of Q is a principal ideal domain, and it is easy to see that we can find & global minimal models for A over Q, i.e. a cubic equation in which each aj € Z, simultaneously minimal at all p. At each p, we have a well defined reduced curve A by reducing the coefficients (of a minimal model) modulo p.
The duality between F-theory and the heterotic string in $$D=8$$ with two Wilson lines
TL;DR: In this article, the authors construct non-geometric string compactifications by using the F-theory dual of the heterotic string compactified on a two-torus with two Wilson line parameters, together with a close connection between modular forms and the equations for certain K3 surfaces.
•Journal Article
Effective measures of irrationality for cubic extensions of number fields
Abstract: L’accès aux archives de la revue « Annali della Scuola Normale Superiore di Pisa, Classe di Scienze » (http://www.sns.it/it/edizioni/riviste/annaliscienze/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
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Some remarks on elliptic curves over function fields
TL;DR: In this paper, the authors present conditions générales d'utilisation, i.e., toute utilisation commerciale ou impression systématique is constitutive d'une infraction pénale.
References
Some Basic Theorems on Algebraic Groups
TL;DR: The main purpose of the present paper is to give a more or less systematic account of a large part of what is now known about general algebraic groups, which may be abelian varieties, algebraic group of matrices, or actually of neither of these types as discussed by the authors.
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•Journal Article
Zyklische Körper und Algebren der Charakteristik p vom Grad pn. Struktur diskret bewerteter perfekter Körper mit vollkommenem Restklassenkörper der Charakteristik p.
TL;DR: In this article, the authors present a Gebrauch bestimmt ausschließlich für den persönlichen, nicht kommerziellen Gebrauchs, which is a rechtschutzbestimmter gebrauch, and gilt vorbehaltlich der folgenden Einschränkungen.
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