The Arithmetic and Geometry of Algebraic Cycles, B. Brent Gordon; James D. Lewis; Stefan M?ller-Sta

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: 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: ?zg?r Ceyhan; Yu. I. Manin; Matilde Marcolli
Название: Arithmetic and Geometry Around Quantization
ISBN: 0817648305 ISBN-13(EAN): 9780817648305
Издательство: Springer
Рейтинг:
Цена: 20962.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

This volume comprises both research and survey articles originating from the conference on Arithmetic and Geometry around Quantization held in Istanbul in 2006. A wide range of topics related to quantization are covered, thus aiming to give a glimpse of a broad subject in very different perspectives.

Автор: Serguei A. Stepanov
Название: Arithmetic of Algebraic Curves
ISBN: 0306110369 ISBN-13(EAN): 9780306110368
Издательство: Springer
Рейтинг:
Цена: 50172.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: 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 250 excercises accompanied by hints, instructions, and references. Written in a clear manner, this text does not require readers to have special knowledge of modern methods of algebraic geometry.

Автор: Dieulefait
Название: Arithmetic and Geometry
ISBN: 1107462541 ISBN-13(EAN): 9781107462540
Издательство: Cambridge Academ
Рейтинг:
Цена: 12197.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: In this proceedings volume leading authorities describe the state of the art in number theory, particularly Diophantine and arithmetic geometry. The book gives an excellent overview of the subject for graduate students and it is essential reading for researchers wishing to keep abreast of recent developments.