Arithmetic of Algebraic Curves, Serguei A. Stepanov

Автор: Liu, Qing
Название: Algebraic Geometry and Arithmetic Curves
ISBN: 0199202494 ISBN-13(EAN): 9780199202492
Издательство: Oxford Academ
Рейтинг:
Цена: 12038.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This new-in-paperback edition provides an 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 curves. Clear explanations of both theory and applications, and almost 600 exercises are included in the text.

Автор: Silverman, Joseph H.
Название: Arithmetic of elliptic curves
ISBN: 0387094938 ISBN-13(EAN): 9780387094939
Издательство: Springer
Рейтинг:
Цена: 6981.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. This book discusses the necessary algebro-geometric results, and offers an exposition of the geometry of elliptic curves, and the formal group of an elliptic curve.

Автор: B. Brent Gordon; James D. Lewis; Stefan M?ller-Sta
Название: The Arithmetic and Geometry of Algebraic Cycles
ISBN: 0792361938 ISBN-13(EAN): 9780792361930
Издательство: Springer
Рейтинг:
Цена: 38433.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The subject of algebraic cycles has thrived through its interaction with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. This book offers students and specialists alike a perspective of algebraic cycles, presented from several viewpoints, including arithmetic, transcendental, and K-theory methods.

Автор: Wilfred W. J. Hulsbergen
Название: Conjectures in Arithmetic Algebraic Geometry
ISBN: 3528064331 ISBN-13(EAN): 9783528064334
Издательство: Springer
Рейтинг:
Цена: 7182.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: In this expository paper we sketch some interrelations between several famous conjectures in number theory and algebraic geometry that have intrigued mathematicians for a long period of time. Starting from Fermat's Last Theorem one is naturally led to intro- duce L-functions, the main motivation being the calculation of class numbers. In particular, Kummer showed that the class numbers of cyclotomic fields playa decisive role in the corroboration of Fermat's Last Theorem for a large class of exponents. Before Kummer, Dirich- let had already successfully applied his L-functions to the proof of the theorem on arithmetic progressions. Another prominent appearance of an L-function is Riemann's paper where the now famous Riemann Hypothesis was stated. In short, nineteenth century number theory showed that much, if not all, of number theory is reflected by proper- ties of L-functions. Twentieth century number theory, class field theory and algebraic geometry only strengthen the nineteenth century number theorists's view. We just mention the work of E. Heeke, E. Artin, A. Weil and A. Grothendieck with his collaborators. Heeke generalized Dirichlet's L-functions to obtain results on the distribution of primes in number fields. Artin introduced his L-functions as a non-abelian generaliza- tion of Dirichlet's L-functions with a generalization of class field the- ory to non-abelian Galois extensions of number fields in mind. Weil introduced his zeta-function for varieties over finite fields in relation to a problem in number theory.

Автор: Edoardo Ballico; Jean-Louis Colliot-Thelene; Kazuy
Название: Arithmetic Algebraic Geometry
ISBN: 3540571108 ISBN-13(EAN): 9783540571100
Издательство: Springer
Рейтинг:
Цена: 6288.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The papers contained in this volume survey the connection between algebraic K-theory and the torsion algebraic cycles on an algebraic variety, introduce an approach to Iwasawa theory for Hasse-Weil L-function, and demonstrate applications of arithmetic geometry to Diophantine approximation.

Автор: Bjorn Poonen; Yuri Tschinkel
Название: Arithmetic of Higher-Dimensional Algebraic Varieties
ISBN: 1461264715 ISBN-13(EAN): 9781461264712
Издательство: Springer
Рейтинг:
Цена: 12577.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This text offers a collection of survey and research papers by leading specialists in the field documenting the current understanding of higher dimensional varieties.

Автор: Silverman Joseph H.
Название: Arithmetic of Elliptic Curves
ISBN: 1441918582 ISBN-13(EAN): 9781441918581
Издательство: Springer
Рейтинг:
Цена: 6981.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields.

Автор: Haruzo Hida
Название: Elliptic Curves and Arithmetic Invariants
ISBN: 1489990925 ISBN-13(EAN): 9781489990921
Издательство: Springer
Рейтинг:
Цена: 13275.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This introduction to Shimura varieties covers key topics including non-triviality of arithmetic invariants and special values of L-functions; elliptic curves over complex and p-adic fields; Hecke algebras; elliptic and modular curves over rings and more.

Автор: Joseph H. Silverman
Название: Advanced Topics in the Arithmetic of Elliptic Curves
ISBN: 0387943285 ISBN-13(EAN): 9780387943282
Издательство: Springer
Рейтинг:
Цена: 6282.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: 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."

Автор: B.H. Gross; B. Mazur
Название: Arithmetic on Elliptic Curves with Complex Multiplication
ISBN: 3540097430 ISBN-13(EAN): 9783540097433
Издательство: Springer
Рейтинг:
Цена: 3487.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Автор: Haruzo Hida
Название: Elliptic Curves and Arithmetic Invariants
ISBN: 1461466563 ISBN-13(EAN): 9781461466567
Издательство: Springer
Рейтинг:
Цена: 19564.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This introduction to Shimura varieties covers key topics including non-triviality of arithmetic invariants and special values of L-functions; elliptic curves over complex and p-adic fields; Hecke algebras; elliptic and modular curves over rings and more.