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.
Автор: Manin Y. Название: Topics in Non-Commutative Geometry ISBN: 0691635781 ISBN-13(EAN): 9780691635781 Издательство: Wiley Рейтинг: Цена: 12989.00 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 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.
Автор: Manin Y. Название: Topics in Non-Commutative Geometry ISBN: 0691607168 ISBN-13(EAN): 9780691607160 Издательство: Wiley Рейтинг: 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
Автор: Eisenbud Название: Commutative Algebra and Noncommutative Algebraic Geometry ISBN: 110714972X ISBN-13(EAN): 9781107149724 Издательство: Cambridge Academ Рейтинг: Цена: 18216.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Patil Dilip P Et Al Название: Introduction To Algebraic Geometry And Commutative Algebra ISBN: 9814304565 ISBN-13(EAN): 9789814304566 Издательство: World Scientific Publishing Рейтинг: Цена: 11405.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Eisenbud Название: Commutative Algebra and Noncommutative Algebraic Geometry ISBN: 1107065623 ISBN-13(EAN): 9781107065628 Издательство: Cambridge Academ Рейтинг: Цена: 23285.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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.
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.
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 Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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