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Model Theory and Algebraic Geometry, Bouscaren



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Цена: 4697р.
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Склад Англия: 991 шт.  Склад Америка: 88 шт.  
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Автор: Bouscaren
Название:  Model Theory and Algebraic Geometry
Издательство: Springer
Классификация:
Основы математики
Геометрия
Топология

ISBN: 3540648631
ISBN-13(EAN): 9783540648635
ISBN: 3-540-64863-1
ISBN-13(EAN): 978-3-540-64863-5
Обложка/Формат: Paperback
Страницы: 226
Вес: 0.72 кг.
Дата издания: 19/10/1999
Серия: Algebraic Geometry / Lecture Notes in Mathematics
Язык: English
Иллюстрации: Index
Размер: 23.39 x 15.60 x 1.22
Читательская аудитория: Professional & VocationalPostgraduate, Research &
Подзаголовок: An introduction to e. hrushovski`s proof of the geometric mordell-lang conjecture
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Описание: This introduction to the recent exciting developments in the applications of model theory to algebraic geometry, illustrated by E. Hrushovskis model-theoretic proof of the geometric Mordell-Lang Conjecture starts from very basic background and works up to the detailed exposition of Hrushovskis proof, explaining the necessary tools and results from stability theory on the way. The first chapter is an informal introduction to model theory itself, making the book accessible (with a little effort) to readers with no previous knowledge of model theory.

The authors have collaborated closely to achieve a coherent and self- contained presentation, whereby the completeness of exposition of the chapters varies according to the existence of other good references, but comments and examples are always provided to give the reader some intuitive understanding of the subject.




Many Rational Points / Coding Theory and Algebraic Geometry

Автор: Hurt N.E.
Название: Many Rational Points / Coding Theory and Algebraic Geometry
ISBN: 1402017669 ISBN-13(EAN): 9781402017667
Издательство: Springer
Цена: 11494 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This monograph presents a comprehensive treatment of recent results on algebraic geometry as they apply to coding theory and cryptography, with the goal the study of algebraic curves and varieties with many rational points. They book surveys recent developments on abelian varieties, in particular the classification of abelian surfaces, hyperelliptic curves, modular towers, Kloosterman curves and codes, Shimura curves and modular jacobian surfaces. Applications of abelian varieties to cryptography are presented including a discussion of hyperelliptic curve cryptosystems. The inter-relationship of codes and curves is developed building on Goppa's results on algebraic-geometry cods. The volume provides a source book of examples with relationships to advanced topics regarding Sato-Tate conjectures, Eichler-Selberg trace formula, Katz-Sarnak conjectures and Hecke operators.

Hodge Theory and Complex Algebraic Geometry I

Автор: Claire Voisin
Название: Hodge Theory and Complex Algebraic Geometry I
ISBN: 0521718015 ISBN-13(EAN): 9780521718011
Издательство: Cambridge Academ
Рейтинг:
Цена: 4485 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The book culminates with the Hodge decomposition theorem. The meanings of these results are investigated in several directions. Completely self-contained, the book is ideal for students, while its content gives an account of Hodge theory and complex algebraic geometry as has been developed by P. Griffiths and his school, by P. Deligne, and by S. Bloch. The text is complemented by exercises which provide useful results in complex algebraic geometry.

Hodge Theory and Complex Algebraic Geometry II

Автор: Claire Voisin
Название: Hodge Theory and Complex Algebraic Geometry II
ISBN: 0521718023 ISBN-13(EAN): 9780521718028
Издательство: Cambridge Academ
Рейтинг:
Цена: 4485 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The second volume of this modern account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. Proofs of the Lefschetz theorem on hyperplane sections, the Picard–Lefschetz study of Lefschetz pencils, and Deligne theorems on the degeneration of the Leray spectral sequence and the global invariant cycles follow. The main results of the second part are the generalized Noether–Lefschetz theorems, the generic triviality of the Abel–Jacobi maps, and most importantly Nori’s connectivity theorem, which generalizes the above. The last part of the book is devoted to the relationships between Hodge theory and algebraic cycles. The book concludes with the example of cycles on abelian varieties, where some results of Bloch and Beauville, for example, are expounded. The text is complemented by exercises giving useful results in complex algebraic geometry. It will be welcomed by researchers in both algebraic and differential geometry.

Number Theory and Algebraic Geometry

Автор: Edited by Miles Reid
Название: Number Theory and Algebraic Geometry
ISBN: 0521545188 ISBN-13(EAN): 9780521545181
Издательство: Cambridge Academ
Рейтинг:
Цена: 6442 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Sir Peter Swinnerton-Dyer’s mathematical career encompasses more than 60 years’ work of amazing creativity. This volume provides contemporary insight into several subjects in which Sir Peter's influence has been notable, and is dedicated to his 75th birthday. The opening section reviews some of his many remarkable contributions to mathematics and other fields. The remaining contributions come from leading researchers in analytic and arithmetic number theory, and algebraic geometry. The topics treated include: rational points on algebraic varieties, the Hasse principle, Shafarevich-Tate groups of elliptic curves and motives, Zagier’s conjectures, descent and zero-cycles, Diophantine approximation, and Abelian and Fano varieties.

Hodge Theory and Complex Algebraic Geometry I

Автор: Claire Voisin
Название: Hodge Theory and Complex Algebraic Geometry I
ISBN: 0521802601 ISBN-13(EAN): 9780521802604
Издательство: Cambridge Academ
Рейтинг:
Цена: 12424 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The book culminates with the Hodge decomposition theorem. The meanings of these results are investigated in several directions. Completely self-contained, the book is ideal for students, while its content gives an account of Hodge theory and complex algebraic geometry as has been developed by P. Griffiths and his school, by P. Deligne, and by S. Bloch. The text is complemented by exercises which provide useful results in complex algebraic geometry.

Hodge Theory and Complex Algebraic Geometry II

Автор: Claire Voisin
Название: Hodge Theory and Complex Algebraic Geometry II
ISBN: 0521802830 ISBN-13(EAN): 9780521802833
Издательство: Cambridge Academ
Рейтинг:
Цена: 12999 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The second volume of this modern account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. Proofs of the Lefschetz theorem on hyperplane sections, the Picard–Lefschetz study of Lefschetz pencils, and Deligne theorems on the degeneration of the Leray spectral sequence and the global invariant cycles follow. The main results of the second part are the generalized Noether–Lefschetz theorems, the generic triviality of the Abel–Jacobi maps, and most importantly Nori’s connectivity theorem, which generalizes the above. The last part of the book is devoted to the relationships between Hodge theory and algebraic cycles. The book concludes with the example of cycles on abelian varieties, where some results of Bloch and Beauville, for example, are expounded. The text is complemented by exercises giving useful results in complex algebraic geometry. It will be welcomed by researchers in both algebraic and differential geometry.

Algebraic geometry and statistical learning theory

Автор: Watanabe, Sumio
Название: Algebraic geometry and statistical learning theory
ISBN: 0521864674 ISBN-13(EAN): 9780521864671
Издательство: Cambridge Academ
Рейтинг:
Цена: 7476 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Sure to be influential, this book lays the foundations for the use of algebraic geometry in statistical learning theory. Many widely used statistical models and learning machines applied to information science have a parameter space that is singular: mixture models, neural networks, HMMs, Bayesian networks, and stochastic context-free grammars are major examples. Algebraic geometry and singularity theory provide the necessary tools for studying such non-smooth models. Four main formulas are established: 1. the log likelihood function can be given a common standard form using resolution of singularities, even applied to more complex models; 2. the asymptotic behaviour of the marginal likelihood or 'the evidence' is derived based on zeta function theory; 3. new methods are derived to estimate the generalization errors in Bayes and Gibbs estimations from training errors; 4. the generalization errors of maximum likelihood and a posteriori methods are clarified by empirical process theory on algebraic varieties.

Methods of Algebraic Geometry in Control Theory: Part I

Автор: Falb Peter
Название: Methods of Algebraic Geometry in Control Theory: Part I
ISBN: 1468492233 ISBN-13(EAN): 9781468492231
Издательство: Springer
Рейтинг:
Цена: 6265 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Control theory represents an attempt to codify, in mathematical terms, the principles and techniques used in the analysis and design of control systems. Algebraic geometry may, in an elementary way, be viewed as the study of the structure and properties of the solutions of systems of algebraic equations.

Model Theory, Algebra, and Geometry

Автор: Haskell
Название: Model Theory, Algebra, and Geometry
ISBN: 0521780683 ISBN-13(EAN): 9780521780681
Издательство: Cambridge Academ
Рейтинг:
Цена: 8283 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.

Model Theory, Algebra, and Geometry

Автор: Haskell
Название: Model Theory, Algebra, and Geometry
ISBN: 0521143497 ISBN-13(EAN): 9780521143493
Издательство: Cambridge Academ
Рейтинг:
Цена: 4140 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Model theory has made substantial contributions to semialgebraic, subanalytic, p-adic, rigid and diophantine geometry. These applications range from a proof of the rationality of certain Poincare series associated to varieties over p-adic fields, to a proof of the Mordell-Lang conjecture for function fields in positive characteristic. In some cases (such as the latter) it is the most abstract aspects of model theory which are relevant. This book, originally published in 2000, arising from a series of introductory lectures for graduate students, provides the necessary background to understanding both the model theory and the mathematics behind these applications. The book is unique in that the whole spectrum of contemporary model theory (stability, simplicity, o-minimality and variations) is covered and diverse areas of geometry (algebraic, diophantine, real analytic, p-adic, and rigid) are introduced and discussed, all by leading experts in their fields.

Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry

Автор: Cluckers
Название: Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry
ISBN: 0521149762 ISBN-13(EAN): 9780521149761
Издательство: Cambridge Academ
Рейтинг:
Цена: 7591 р.
Наличие на складе: Поставка под заказ.

Описание: An overview of different theories of motivic integration and their applications.

Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry

Автор: Cluckers
Название: Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry
ISBN: 1107648815 ISBN-13(EAN): 9781107648814
Издательство: Cambridge Academ
Рейтинг:
Цена: 5291 р.
Наличие на складе: Поставка под заказ.

Описание: An overview of different theories of motivic integration and their applications.


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