Maximal Abelian Sets of Roots, R. Lawther

Автор: Brayton Gray
Название: Abelian Properties of Anick Spaces
ISBN: 1470423081 ISBN-13(EAN): 9781470423087
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: Anick spaces are closely connected with both EHP sequences and the study of torsion exponents. In addition they refine the secondary suspension and enter unstable periodicity. This work describes their $H$-space properties as well as universal properties.

Автор: George R. Kempf
Название: Complex Abelian Varieties and Theta Functions
ISBN: 3540531688 ISBN-13(EAN): 9783540531685
Издательство: Springer
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Цена: 88500.00 T
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Описание: Focuses on analytical aspects of the geometry of abelian varieties, in order to provide an introduction to complex analytic geometry. The text features the systematic use of Mumford`s theta group, which allows the author to provide precise results about the projective ideal of an abelian variety.

Автор: Igor Burban, Yuriy Drozd
Название: Maximal Cohen-Macaulay Modules Over Non-Isolated Surface Singularities and Matrix Problems
ISBN: 1470425378 ISBN-13(EAN): 9781470425371
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: Develops a new method to deal with maximal Cohen-Macaulay modules over non-isolated surface singularities. In particular, the authors give a negative answer on an old question of Schreyer about surface singularities with only countably many indecomposable maximal Cohen-Macaulay modules.

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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Цена: 93160.00 T
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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: Gerard van der Geer; C. Faber; Frans Oort
Название: Moduli of Abelian Varieties
ISBN: 3034895097 ISBN-13(EAN): 9783034895095
Издательство: Springer
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Цена: 139750.00 T
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Описание: Abelian varieties and their moduli are a topic of increasing importance in today`s mathematics, applications ranging from algebraic geometry and number theory to mathematical physics.

Автор: R. G?bel; L. Lady; A. Mader
Название: Abelian Group Theory
ISBN: 3540123350 ISBN-13(EAN): 9783540123354
Издательство: Springer
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Цена: 41880.00 T
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Описание: A conference on Abelian Group Theory was held at the Manoa Campus of the University of Hawaii from December 28, 1982 to January 4, 1983. It was probably the best attended conference on Abelian Group Theory to date with 55 participants from allover the world and the busiest one with 49 talks. A special feature were general interest lectures by Hyman Bass, Columbia University, on "Non-linear Algebra", and by Claus Michael Ringel, Uni versiUit Bielefeld, on "Representations of Algebras". The Conference offered surveys by Laszlo Fuchs, Tulane University, on "Torsion Modules over Valuation Rings", Fred Richman, New Mexico State University, on "Mixed Groups", Paul Eklof, University of California at Irvine, on "Set Theory and Structure Theorems", Rudiger Gobel, Un: i: versitat Essen on "Endomorphism Rings", and Lee Lady, University of Hawaii, on "Torsion Free Groups of Finite Rank". The research reports attested to lively activity in the traditional and in new areas of inquiry within and around Abelian Group Theory. The best represented groups were those of finite rank without torsion, a field employing increasingly sophisticated tools from ring theory and algebraic number theory. The use of set theoretic methods continues to flourish after the pioneering work of Saharon Shelah in the 1970s, and is delivering impressive results. This volume contains the papers of the participants df the C- ferencean6 a number of additional articles of others who could not or did not corne.

Автор: Gerd Faltings; Ching-Li Chai
Название: Degeneration of Abelian Varieties
ISBN: 364208088X ISBN-13(EAN): 9783642080883
Издательство: Springer
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Цена: 93130.00 T
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Описание: The topic of this book is the theory of degenerations of abelian varieties and its application to the construction of compactifications of moduli spaces of abelian varieties. These compactifications have applications to diophantine problems and, of course, are also interesting in their own right. Degenerations of abelian varieties are given by maps G - S with S an irre- ducible scheme and G a group variety whose generic fibre is an abelian variety. One would like to classify such objects, which, however, is a hopeless task in this generality. But for more specialized families we can obtain more: The most important theorem about degenerations is the stable reduction theorem, which gives some evidence that for questions of compactification it suffices to study semi-abelian families; that is, we may assume that G is smooth and flat over S, with fibres which are connected extensions of abelian varieties by tori. A further assumption will be that the base S is normal, which makes such semi-abelian families extremely well behaved. In these circumstances, we give a rather com- plete classification in case S is the spectrum of a complete local ring, and for general S we can still say a good deal. For a complete base S = Spec(R) (R a complete and normal local domain) the main result about degenerations says roughly that G is (in some sense) a quotient of a covering G by a group of periods.

Автор: Alberto Facchini; Claudia Menini
Название: Abelian Groups and Modules
ISBN: 0792337565 ISBN-13(EAN): 9780792337560
Издательство: Springer
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Цена: 121110.00 T
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Описание: Consists mainly of refereed papers and surveys presented at the 1994 Padova Conference `Abelian Groups and Modules`. Linking three main areas in algebra, namely Abelian groups, commutative algebra and modules over non-commutative rings, this title gives a survey of trends in specific research topics.

Автор: John Cremona; Joan-Carles Lario; Jordi Quer; Kenne
Название: Modular Curves and Abelian Varieties
ISBN: 3764365862 ISBN-13(EAN): 9783764365868
Издательство: Springer
Рейтинг:
Цена: 111790.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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).