Cliquer sur une vignette pour aller sur Google Books.
Chargement... Abelian Varieties with Complex Multiplication and Modular Functionspar Goro Shimura
Aucun Chargement...
Inscrivez-vous à LibraryThing pour découvrir si vous aimerez ce livre Actuellement, il n'y a pas de discussions au sujet de ce livre. Aucune critique aucune critique | ajouter une critique
Appartient à la série éditoriale
Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. A similar theory can be developed for special values of elliptic or elliptic modular functions, and is called complex multiplication of such functions. In 1900 Hilbert proposed the generalization of these as the twelfth of his famous problems. In this book, Goro Shimura provides the most comprehensive generalizations of this type by stating several reciprocity laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions. This subject is closely connected with the zeta function of an abelian variety, which is also covered as a main theme in the book. The third topic explored by Shimura is the various algebraic relations among the periods of abelian integrals. The investigation of such algebraicity is relatively new, but has attracted the interest of increasingly many researchers. Many of the topics discussed in this book have not been covered before. In particular, this is the first book in which the topics of various algebraic relations among the periods of abelian integrals, as well as the special values of theta and Siegel modular functions, are treated extensively. Aucune description trouvée dans une bibliothèque |
Discussion en coursAucun
Google Books — Chargement... GenresClassification décimale de Melvil (CDD)514.3Natural sciences and mathematics Mathematics Topology Topology of SpaceClassification de la Bibliothèque du CongrèsÉvaluationMoyenne: Pas d'évaluation.Est-ce vous ?Devenez un(e) auteur LibraryThing. |