Advanced Topics in the Arithmetic of Elliptic Curves (Lecture Notes in Statistics)

Silverman, Joseph H.

ISBN 10: 0387943250 / ISBN 13: 9780387943251

Verlag: Springer, 1994

Beschreibung

9.50x6.25x1.25 inches. In Stock. Bestandsnummer des Verkäufers x-0387943250

Bibliografische Details

Titel: Advanced Topics in the Arithmetic of ...

Verlag: Springer

Erscheinungsdatum: 1994

Einband: Hardcover

Zustand: Brand New

Über diesen Titel

Reseña del editor:

In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there might be a second volume containing the details. You are now holding that second volume. it turned out that even those ten topics would not fit Unfortunately, into a single book, so I was forced to make some choices. The following material is covered in this book: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Neron models, Kodaira-Neron classification of special fibers, Tate's algorithm, and Ogg's conductor-discriminant formula. V. Tate's theory of q-curves over p-adic fields. VI. Neron's theory of canonical local height functions.