Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics, 151, Band 151) - Softcover

Silverman, Joseph H.

Softcover

ISBN 10: 0387943285 ISBN 13: 9780387943282

Verlag: Springer, 1999

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

Joseph H. Silverman is Professor of Mathematics at Brown University. He is the author of over 100 research articles and numerous books on elliptic curves, diophantine geometry, cryptography, and arithmetic dynamical systems. John T. Tate is Professor Emeritus of Mathematics at The University of Texas at Austin and at Harvard University. For his seminal contributions to number theory, he was awarded the 2010 Abel Prize.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1999
• Sprache: Englisch
• ISBN 10: 0387943285
• ISBN 13: 9780387943282
• Einband: Taschenbuch
• Anzahl der Seiten: 548
• Kontakt zum Hersteller: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Deutschland