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Advanced topics in the arithmetic of elliptic curves

By: Material type: TextTextLanguage: English Series: Graduate texts in mathematics ; 151Publication details: New York Springer Verlag 1994Description: xiii, 523p. illISBN:
  • 0387943285 (PB)
Subject(s):
Contents:
Ch. I. Elliptic and Modular Functions Ch. II. Complex Multiplication Ch. III. Elliptic Surfaces Ch. IV. The Neron Model Ch. V. Elliptic Curves over Complete Fields Ch. VI. Local Height Functions
Summary: 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.
Item type: BOOKS
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IMSc Library 512.742 SIL (Browse shelf(Opens below)) Checked out 23/08/2025 31809

Includes index

Includes bibliography (p. 488-497) and references

Ch. I. Elliptic and Modular Functions
Ch. II. Complex Multiplication
Ch. III. Elliptic Surfaces
Ch. IV. The Neron Model
Ch. V. Elliptic Curves over Complete Fields
Ch. VI. Local Height Functions

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.

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The Institute of Mathematical Sciences, Chennai, India