9 edition of **Arithmetic of algebraic curves** found in the catalog.

- 93 Want to read
- 10 Currently reading

Published
**1994**
by Consultants Bureau in New York
.

Written in English

- Curves, Algebraic,
- Curves, Elliptic,
- Diophantine equations

**Edition Notes**

Includes bibliographical references (p. 391-413) and index.

Statement | Serguei A. Stepanov ; translated fom Russian by Irene Aleksanova. |

Series | Monographs in contemporary mathematics |

Classifications | |
---|---|

LC Classifications | QA567 .S82513 1994 |

The Physical Object | |

Pagination | xii, 422 p. : |

Number of Pages | 422 |

ID Numbers | |

Open Library | OL1116059M |

ISBN 10 | 0306110369 |

LC Control Number | 94042129 |

Extremely carefully written, masterfully thought out, and skillfully arranged introduction to the arithmetic of algebraic curves, on the one hand, and to the algebro-geometric aspects of number theory, on the other hand. an excellent guide for beginners in arithmetic geometry, just as an interesting reference and methodical inspiration for teachers of the subject a highly welcome 5/5(2). GRADUATE FOR ALGEBRISTS AND NUMBER THEORISTS: Liu Qing - "Algebraic Geometry and Arithmetic Curves". It is a very complete book even introducing some needed commutative algebra and preparing the reader to learn arithmetic geometry like Mordell's .

This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem)/5(10). The theme of the program was arithmetic algebraic geometry. The choice of lecture topics was heavily influenced by the recent spectacular work of Wiles on modular elliptic curves and Fermat's Last Theorem. The main emphasis of the articles in the volume is on elliptic curves, Galois representations, and modular forms.

This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem).Price: $ Indeed, the book is affordable (in fact, the most affordable of all references on the subject), but also a high quality work and a complete introduction to the rich theory of the arithmetic of elliptic curves, with numerous examples and exercises for the reader, many interesting remarks and an updated bibliography.

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Arithmetic of Algebraic Curves (Monographs in Contemporary Mathematics) th Edition by Serguei A. Stepanov (Author) ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book Cited by: Discussions focus on arithmetic, algebraic-geometric, and logical aspects of the problem.

Designed for students as well as researchers, the book includes over excercises accompanied by hints, instructions, and references. Discussions focus on arithmetic, algebraic-geometric, and logical aspects of the problem. Designed for students as well as researchers, the book includes over Arithmetic of Algebraic Curves | Serguei A.

Stepanov | Springer. out of 5 stars Algebraic Geometry and Arithmetic Curves. Reviewed in the United States on Novem Verified Purchase. Good book overall. Some proofs are not clear because it is done in ad hoc ways. Anyway, this is more readable than Hartshorne's book and more stuff is going in this book than Shafarevich's book on by: Author S.A.

Stepanov thoroughly investigates the current state of the theory of Diophantine equations and its related methods. Discussions focus on arithmetic, algebraic-geometric, and logical aspects of the problem.

Designed for students as well as researchers, the book includes over excercises accompanied by hints, instructions, and references. This new-in-paperback edition provides a general introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem).

This book provides a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory Arithmetic of algebraic curves book reduction of algebraic curves. The book is essentially self-contained, including the necessary material on commutative algebra.

The prerequisites are therefore few, and the book should suit a graduate student. The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study.

This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic : Springer-Verlag New York.

Silverman and Tate, Rational Points on Elliptic Curves. This elementary book was written for advanced undergraduates. It is suitable for beginners, first-year students, or anyone whose thesis will not involve a heavy amount of algebraic machinery.

Silverman, The Arithmetic of Elliptic Curves. This is the book on elliptic curves. Silverman works. The basic (global) theorems in the arithmetic of elliptic curves are the Mordell– Weil theorem, which is proven in Chapter VIII and analyzed more closely in Chap- ter X, and Siegel’s theorem, which is proven in Chapter IX.

The reader desiring toCited by: Algebraic Geometry and Arithmetic Curves (Oxford Graduate Texts in Mathematics) by Qing Liu and a great selection of related books, art and collectibles available now at This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves.

The first part introduces basic. This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem).

Author S.A. Stepanov thoroughly investigates the current state of the theory of Diophantine equations and its related methods. Discussions focus on arithmetic, algebraic-geometric, and logical aspects of the problem.

Designed for students as well as researchers, the book includes over excercises accompanied by hints, instructions, and. Algebraic geometry and arithmetic curves | Qing Liu | download | B–OK.

Download books for free. Find books. This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves.

The first part introduces basic objects such as schemes, morphisms, base change, local /5(10). Silverman, The Arithmetic of Elliptic Curves. This is the book on elliptic curves.

Silverman works hard to be 'accessible' and 'friendly', while introducing the student to the highbrow perspective. In particular, Silverman illustrates the relevance of ideas from algebraic geometry, algebraic number theory, group cohomology, complex analysis, and a host of other algebraic topics.

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Algebraic Curves: An Introduction to Algebraic Geometry. This book is available for free on Fulton's website. Milne, J. Elliptic Curves. BookSurge Publishers, ISBN: This book is also available for free on Milne's website, along with addendum/erratum. Serre, Jean-Pierre.

A Course in Arithmetic. Springer-Verlag, We are constantly discovering new ways of understanding algebraic curves and their arithmetic properties. Questions about ‘rational points’—the interplay ofarithmeticand algebra—have fascinated mathematicians from Diophantus to the present.

I will give a survey of current approaches, results, and conjectures in this vibrant Size: 1MB. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. The book begins with a brief discussion of the necessary algebro-geometric results, and proceeds with an exposition of the geometry of elliptic curves, the formal group of an elliptic.The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study.

This book treats the arithmetic approach in its modern 5/5(2).An Invitation to Arithmetic Geometry. Professor Kleinert reviews the book in Zentralblatt fur Mathematik and writes: an extremely carefully written, masterfully thought out, and skillfully arranged introduction -- and quite so an invitation, as promised -- to the arithmetic of algebraic curves, on the one hand, and to the algebro-geometric aspects of number theory, on the other hand.