Описание: This is the first book to study representations of elementary abelian groups using vector bundles on projective space. The treatment includes substantial background material from representation theory and algebraic geometry, including an algebraic treatment of the theory of Chern classes.
Автор: John Cremona; Joan-Carles Lario; Jordi Quer; Kenne Название: Modular Curves and Abelian Varieties ISBN: 3034896212 ISBN-13(EAN): 9783034896214 Издательство: Springer Рейтинг: Цена: 13974.00 р. 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).
Автор: Gerard van der Geer; C. Faber; Frans Oort Название: Moduli of Abelian Varieties ISBN: 3034895097 ISBN-13(EAN): 9783034895095 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Gerd Faltings; Ching-Li Chai Название: Degeneration of Abelian Varieties ISBN: 364208088X ISBN-13(EAN): 9783642080883 Издательство: Springer Рейтинг: Цена: 13969.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Christina Birkenhake; Herbert Lange Название: Complex Abelian Varieties ISBN: 3642058078 ISBN-13(EAN): 9783642058073 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book explores the theory of abelian varieties over the field of complex numbers, explaining both classic and recent results in modern language. The second edition adds five chapters on recent results including automorphisms and vector bundles on abelian varieties, algebraic cycles and the Hodge conjecture. ". . . far more readable than most . . . it is also much more complete." Olivier Debarre in Mathematical Reviews, 1994.
Автор: Ke-Zheng Li; Frans Oort Название: Moduli of Supersingular Abelian Varieties ISBN: 3540639233 ISBN-13(EAN): 9783540639237 Издательство: Springer Рейтинг: Цена: 4186.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An analysis of the moduli of supersingular abelian varieties. It considers: flag type quotients; main results on S ag,lu; PFTQs of Dieudonne modules over W; moduli of rigid PFTQs of Dieudonne modules; some class numbers; main results on S ag,du; and proofs of the propositions on FTQs.
Автор: George R. Kempf Название: Complex Abelian Varieties and Theta Functions ISBN: 3540531688 ISBN-13(EAN): 9783540531685 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Grandis Marco Название: Homological Algebra: In Strongly Non-Abelian Settings ISBN: 9814425915 ISBN-13(EAN): 9789814425919 Издательство: World Scientific Publishing Рейтинг: Цена: 16790.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: We propose here a study of 'semiexact' and 'homological' categories as a basis for a generalised homological algebra. Our aim is to extend the homological notions to deeply non-abelian situations, where satellites and spectral sequences can still be studied.This is a sequel of a book on 'Homological Algebra, The interplay of homology with distributive lattices and orthodox semigroups', published by the same Editor, but can be read independently of the latter.The previous book develops homological algebra in p-exact categories, i.e. exact categories in the sense of Puppe and Mitchell -- a moderate generalisation of abelian categories that is nevertheless crucial for a theory of 'coherence' and 'universal models' of (even abelian) homological algebra. The main motivation of the present, much wider extension is that the exact sequences or spectral sequences produced by unstable homotopy theory cannot be dealt with in the previous framework.According to the present definitions, a semiexact category is a category equipped with an ideal of 'null' morphisms and provided with kernels and cokernels with respect to this ideal. A homological category satisfies some further conditions that allow the construction of subquotients and induced morphisms, in particular the homology of a chain complex or the spectral sequence of an exact couple.Extending abelian categories, and also the p-exact ones, these notions include the usual domains of homology and homotopy theories, e.g. the category of 'pairs' of topological spaces or groups; they also include their codomains, since the sequences of homotopy 'objects' for a pair of pointed spaces or a fibration can be viewed as exact sequences in a homological category, whose objects are actions of groups on pointed sets.
Автор: Peter S. Landweber Название: Elliptic Curves and Modular Forms in Algebraic Topology ISBN: 3540194908 ISBN-13(EAN): 9783540194903 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology, which had led to the introduction of elliptic genera and elliptic cohomology.
Название: Introduction to Elliptic Curves and Modular Forms ISBN: 1461269423 ISBN-13(EAN): 9781461269427 Издательство: Springer Рейтинг: Цена: 7680.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Berger Laurent Название: Elliptic Curves, Hilbert Modular Forms and Galois Deformatio ISBN: 3034806175 ISBN-13(EAN): 9783034806176 Издательство: Springer Рейтинг: Цена: 4191.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book details recent developments and major changes in Galois deformation theory during the last decade, including deformations of pseudo-representations, framed deformations, and groupoids.
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