Elliptic curves

著者

• Husemöller, Dale
• Forster, Otto
• Lawrence, Ruth
• Theisen, Stefan

書誌事項

Elliptic curves

Dale Husemöller ; with appendices by Otto Forster, Ruth Lawrence, and Stefan Theisen

（Graduate texts in mathematics, 111）

Springer, c2004

2nd ed

注記

Includes bibliographical references (p. [465]-478) and index

内容説明・目次

内容説明

First Edition sold over 2500 copies in the Americas; New Edition contains three new chapters and two new appendices

目次

Introduction to Rational Points on Plane Curves * Elementary Properties of the Chord-Tangent Group Law on a Cubic Curve * Plane Algebraic Curves * Factorial Rings and Elimination Theory * Elliptic Curves and Their Isomorphism * Families of Elliptic Curves and Geometric Properties of Torsion Points * Reduction mod p and Torsion Points * Proof of Mordell's Finite Generation Theorem * Galois Cohomology and Isomorphism Classification of Elliptic Curves over Arbitrary Fields * Descent and Galois Cohomology * Elliptic and Hypergeometric Functions * Theta Functions * Modular Functions * Endomorphisms of Elliptic Curves * Elliptic Curves over Finite Fields * Elliptic Curves over Local Fields * Elliptic Curves over Global Fields and l-adic Representations * L-Functions of an Elliptic Curve and Its Analytic Continuation * Remarks on the Birch and Swinnerton-Dyer Conjecture * Remarks on the Modular Curves Conjecture and Fermat's Last Theorem * Higher Dimensional Analogs of Elliptic Curves: Calabi-Yau Varieties * Families of Elliptic Curves * Appendix I: Calabi-Yau Manifolds and String Theory * Appendix II: Elliptic Curves in Algorithmic Number Theory * Appendix III: Guide to the Exercises * Bibliography * Index

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA65804459
• ISBN:
  • 9780387954905
• LCCN: 2002067016
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: xxi, 487 p.
• 大きさ: 25 cm
• 親書誌ID:
  • BA00010074