Random Curves, Neal Koblitz

Автор: Joseph H. Silverman; John T. Tate
Название: Rational Points on Elliptic Curves
ISBN: 3319307576 ISBN-13(EAN): 9783319307572
Издательство: Springer
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Описание: Introduction.- Geometry and Arithmetic.- Points of Finite Order.- The Group of Rational Points.- Cubic Curves over Finite Fields.- Integer Points on Cubic Curves.- Complex Multiplication.

Автор: Haruzo Hida
Название: Elliptic Curves and Arithmetic Invariants
ISBN: 1489990925 ISBN-13(EAN): 9781489990921
Издательство: Springer
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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: Abel Gomes; Irina Voiculescu; Joaquim Jorge; Brian
Название: Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms
ISBN: 1447158776 ISBN-13(EAN): 9781447158776
Издательство: Springer
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Описание: In presenting the mathematics, computational methods and data structures, as well as the algorithms needed to render implicit curves and surfaces, the authors show how implicit objects can easily describe smooth, intricate, and shapes that articulate.

Автор: Christian Wei?
Название: Twisted Teichm?ller Curves
ISBN: 331904074X ISBN-13(EAN): 9783319040745
Издательство: Springer
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Описание: These notes introduce a new class of algebraic curves on Hilbert modular surfaces. These curves are called twisted Teichmuller curves, because their construction is very reminiscent of Hirzebruch-Zagier cycles. The study of algebraic curves on Hilbert modular surfaces has been widely covered in the literature due to their arithmetic importance.

Автор: David Loeffler; Sarah Livia Zerbes
Название: Elliptic Curves, Modular Forms and Iwasawa Theory
ISBN: 331945031X ISBN-13(EAN): 9783319450315
Издательство: Springer
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Описание: Celebrating one of the leading figures in contemporary number theory - John H. Coates - on the occasion of his 70th birthday, this collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms, and Galois representations.

Автор: Cavalieri
Название: Riemann Surfaces and Algebraic Curves
ISBN: 110714924X ISBN-13(EAN): 9781107149243
Издательство: Cambridge Academ
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Описание: Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field in algebraic geometry. Designed for undergraduate study, this classroom-tested text demonstrates the connections between diverse areas of mathematics and features short essays by guest writers as well as over 100 exercises for the reader.

Название: Introduction to Elliptic Curves and Modular Forms
ISBN: 1461269423 ISBN-13(EAN): 9781461269427
Издательство: Springer
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Цена: 7680.00 р.
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Описание: The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory.

Автор: Ash Avner, Gross Robert
Название: Elliptic Tales: Curves, Counting, and Number Theory
ISBN: 0691163502 ISBN-13(EAN): 9780691163505
Издательство: Wiley
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Описание: Elliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics--the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem. The key to the conjecture

Автор: Hershel M. Farkas; Shaul Zemel
Название: Generalizations of Thomae`s Formula for Zn Curves
ISBN: 1461427584 ISBN-13(EAN): 9781461427582
Издательство: Springer
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Описание: This book provides a comprehensive overview of the theory of theta functions, and the necessary background for understanding and proving the Thomae formulae and their relationship to the Zn curves. The book is intended for graduate students in mathematics studying complex analysis, algebraic geometry, and number theory as well as mathematical physicists and physicists studying conformal field theory.

Автор: Haruzo Hida
Название: Elliptic Curves and Arithmetic Invariants
ISBN: 1461466563 ISBN-13(EAN): 9781461466567
Издательство: Springer
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Цена: 19564.00 р.
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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: John Cremona; Joan-Carles Lario; Jordi Quer; Kenne
Название: Modular Curves and Abelian Varieties
ISBN: 3034896212 ISBN-13(EAN): 9783034896214
Издательство: Springer
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Описание: It would be difficult to overestimate the influence and importance of modular forms, modular curves, and modular abelian varieties in the development of num- ber theory and arithmetic geometry during the last fifty years. These subjects lie at the heart of many past achievements and future challenges. For example, the theory of complex multiplication, the classification of rational torsion on el- liptic curves, the proof of Fermat's Last Theorem, and many results towards the Birch and Swinnerton-Dyer conjecture all make crucial use of modular forms and modular curves. A conference was held from July 15 to 18, 2002, at the Centre de Recerca Matematica (Bellaterra, Barcelona) under the title "Modular Curves and Abelian Varieties". Our conference presented some of the latest achievements in the theory to a diverse audience that included both specialists and young researchers. We emphasized especially the conjectural generalization of the Shimura-Taniyama conjecture to elliptic curves over number fields other than the field of rational numbers (elliptic Q-curves) and abelian varieties of dimension larger than one (abelian varieties of GL2-type).

Автор: Shrawan Kumar; M.S. Narasimhan; G?rard Laumon; Ulr
Название: Vector Bundles on Curves - New Directions
ISBN: 3540624015 ISBN-13(EAN): 9783540624011
Издательство: Springer
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Описание: The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics. Drinfeld Shtukas (Lectures by G. Drinfeld modules and Elliptic Sheaves (Lectures by U.