Arithmetic of Higher-Dimensional Algebraic Varieties, Bjorn Poonen; Yuri Tschinkel
Автор: Thomas Peternell; Joichi Miyaoka Название: Geometry of Higher Dimensional Algebraic Varieties ISBN: 3764354909 ISBN-13(EAN): 9783764354909 Издательство: Springer Рейтинг: Цена: 4186.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Deals with the classification theory and geometry of higher dimensional varieties: existence and geometry of rational curves via characteristic p-methods, manifolds with negative Kodaira dimension, vanishing theorems, theory of extremal rays (Mori theory), and minimal models.
Автор: K?roly Jr. B?r?czky; J?nos Koll?r; Szamuely Tamas Название: Higher Dimensional Varieties and Rational Points ISBN: 3540008209 ISBN-13(EAN): 9783540008200 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: K?roly Jr. B?r?czky; J?nos Koll?r; Szamuely Tamas Название: Higher Dimensional Varieties and Rational Points ISBN: 364205644X ISBN-13(EAN): 9783642056444 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The main aim of this monograph is to describe the cohomology of varieties of interest in enumerative geometry. Some enumerative applications are also given. The text is self-contained, assuming only a basic knowledge of algebraic geometry.
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: 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: 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: 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: Baruch Z. Moroz Название: Analytic Arithmetic in Algebraic Number Fields ISBN: 3540167846 ISBN-13(EAN): 9783540167846 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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