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Advanced Topics in the Arithmetic of Elliptic Curves
Af: Joseph H. Silverman Engelsk Paperback
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Advanced Topics in the Arithmetic of Elliptic Curves
Af: Joseph H. Silverman Engelsk Paperback
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.
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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.
Produktdetaljer
Sprog: Engelsk
Sider: 528
ISBN-13: 9780387943282
Indbinding: Paperback
Udgave:
ISBN-10: 0387943285
Udg. Dato: 4 nov 1994
Længde: 29mm
Bredde: 233mm
Højde: 157mm
Oplagsdato: 4 nov 1994
Forfatter(e): Joseph H. Silverman
Forfatter(e) Joseph H. Silverman


Kategori Algebraisk geometri


Sprog Engelsk


Indbinding Paperback


Sider 528


Udgave


Længde 29mm


Bredde 233mm


Højde 157mm


Udg. Dato 4 nov 1994


Oplagsdato 4 nov 1994

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