Algebraic Geometry II, I.R. Shafarevich; V.I. Danilov; R. Treger; V.A. Is

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: Gunnar Fl?ystad; Trygve Johnsen; Andreas Leopold K
Название: Combinatorial Aspects of Commutative Algebra and Algebraic Geometry
ISBN: 3642268285 ISBN-13(EAN): 9783642268281
Издательство: Springer
Рейтинг:
Цена: 23058.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The Abel Symposium 2009 "Combinatorial aspects of Commutative Algebra and Algebraic Geometry", held at Voss, Norway, featured talks by leading researchers in the field. This is the proceedings of the Symposium, presenting contributions on syzygies, tropical geometry, Boij-Soederberg theory, Schubert calculus, and quiver varieties.

Автор: Wolfram Decker; Christoph Lossen
Название: Computing in Algebraic Geometry
ISBN: 3642067018 ISBN-13(EAN): 9783642067013
Издательство: Springer
Рейтинг:
Цена: 7685.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book provides a quick access to computational tools for algebraic geometry, the mathematical discipline which handles solution sets of polynomial equations.

Автор: Decker
Название: A First Course in Computational Algebraic Geometry
ISBN: 1107612535 ISBN-13(EAN): 9781107612532
Издательство: Cambridge Academ
Рейтинг:
Цена: 2534.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This quick guide is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. It provides a compact presentation of the basic theory, with particular emphasis on explicit computational examples using the computer algebra system Singular.

Автор: V.L. Popov; A.N. Parshin; T.A. Springer; I.R. Shaf
Название: Algebraic Geometry IV
ISBN: 3642081193 ISBN-13(EAN): 9783642081194
Издательство: Springer
Рейтинг:
Цена: 19564.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Two contributions on closely related subjects: the theory of linear algebraic groups and invariant theory, by well-known experts in the fields. The book will be very useful as a reference and research guide to graduate students and researchers in mathematics and theoretical physics.