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Topics in Non-Commutative Geometry, Manin Y.


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Автор: Manin Y.
Название:  Topics in Non-Commutative Geometry
ISBN: 9780691635781
Издательство: Wiley
Классификация:

ISBN-10: 0691635781
Обложка/Формат: Hardcover
Страницы: 174
Вес: 0.52 кг.
Дата издания: 19.04.2016
Серия: Princeton legacy library
Язык: English
Размер: 254 x 178 x 11
Читательская аудитория: Tertiary education (us: college)
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание:

There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over the space corresponds to a projective module over this algebra; cohomology can be read off the de Rham complex; and so on. In this book Yuri Manin addresses a variety of instances in which the application of commutative algebra cannot be used to describe geometric objects, emphasizing the recent upsurge of activity in studying noncommutative rings as if they were function rings on noncommutative spaces. Manin begins by summarizing and giving examples of some of the ideas that led to the new concepts of noncommutative geometry, such as Connes noncommutative de Rham complex, supergeometry, and quantum groups. He then discusses supersymmetric algebraic curves that arose in connection with superstring theory; examines superhomogeneous spaces, their Schubert cells, and superanalogues of Weyl groups; and provides an introduction to quantum groups. This book is intended for mathematicians and physicists with some background in Lie groups and complex geometry.

Originally published in 1991.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.




Commutative Algebra and its Interactions to Algebraic Geometry

Автор: Tu CUONG
Название: Commutative Algebra and its Interactions to Algebraic Geometry
ISBN: 3319755641 ISBN-13(EAN): 9783319755649
Издательство: Springer
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Цена: 9781.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry. The first lecture is on Weyl algebras (certain rings of differential operators) and their D-modules, relating non-commutative and commutative algebra to algebraic geometry and analysis in a very appealing way.

Commutative Algebra and Noncommutative Algebraic Geometry

Автор: Eisenbud
Название: Commutative Algebra and Noncommutative Algebraic Geometry
ISBN: 110714972X ISBN-13(EAN): 9781107149724
Издательство: Cambridge Academ
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Цена: 18216.00 р.
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Описание: In recent years there have been many significant developments in these two fields; furthermore, the boundary between them has become increasingly blurred. Based on a series of successful lectures, this two-volume series contains survey articles and research papers by experts in the field which emphasise the connections between them. Volume 2 focuses on the most recent research.

Commutative Algebra

Автор: Aron Simis
Название: Commutative Algebra
ISBN: 3110616971 ISBN-13(EAN): 9783110616972
Издательство: Walter de Gruyter
Цена: 9660.00 р.
Наличие на складе: Нет в наличии.

Описание:

This unique book on commutative algebra is divided into two parts in order to facilitate its use in several types of courses. The first introductory part covers the basic theory, connections with algebraic geometry, computational aspects, and extensions to module theory. The more advanced second part covers material such as associated primes and primary decomposition, local rings, M-sequences and Cohen-Macaulay modules, and homological methods.

Topics in Non-Commutative Geometry

Автор: Manin Y.
Название: Topics in Non-Commutative Geometry
ISBN: 0691607168 ISBN-13(EAN): 9780691607160
Издательство: Wiley
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Цена: 5544.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over the space corresponds to a projective module over this algebra; cohomology can be read off the de Rham complex; and so on. In this book Yuri Manin addresses a variety of instances in which the application

Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics

Автор: Gert-Martin Greuel; Luis Narv?ez Macarro; Sebasti?
Название: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics
ISBN: 3030072584 ISBN-13(EAN): 9783030072582
Издательство: Springer
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Цена: 12577.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday. Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.

Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics

Автор: Gert-Martin Greuel; Luis Narv?ez Macarro; Sebasti?
Название: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics
ISBN: 3319968262 ISBN-13(EAN): 9783319968261
Издательство: Springer
Рейтинг:
Цена: 12577.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday. Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.

From Differential Geometry to Non-commutative Geometry and Topology

Автор: Neculai S. Teleman
Название: From Differential Geometry to Non-commutative Geometry and Topology
ISBN: 3030284328 ISBN-13(EAN): 9783030284329
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book aims to provide a friendly introduction to non-commutative geometry. It studies index theory from a classical differential geometry perspective up to the point where classical differential geometry methods become insufficient. It then presents non-commutative geometry as a natural continuation of classical differential geometry. It thereby aims to provide a natural link between classical differential geometry and non-commutative geometry. The book shows that the index formula is a topological statement, and ends with non-commutative topology.

Introduction To Algebraic Geometry And Commutative Algebra

Автор: Patil Dilip P Et Al
Название: Introduction To Algebraic Geometry And Commutative Algebra
ISBN: 9814304565 ISBN-13(EAN): 9789814304566
Издательство: World Scientific Publishing
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Цена: 11405.00 р.
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Описание: Suitable for a graduate course in pure mathematics, this title provides a gateway into the two difficult fields of algebraic geometry and commutative algebra. It delves into the rich interplay between algebraic geometry and commutative algebra.

Combinatorial Aspects of Commutative Algebra and Algebraic Geometry

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
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Цена: 23058.00 р.
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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.

Commutative Algebra and Noncommutative Algebraic Geometry

Автор: Eisenbud
Название: Commutative Algebra and Noncommutative Algebraic Geometry
ISBN: 1107065623 ISBN-13(EAN): 9781107065628
Издательство: Cambridge Academ
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Цена: 23285.00 р.
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Описание: This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 1 contains expository papers ideal for those entering the field.


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