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Algebraic Geometry and Commutative Algebra, Linsen Chou


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Цена: 203050.00T
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в Мои желания

Автор: Linsen Chou
Название:  Algebraic Geometry and Commutative Algebra
ISBN: 9781681171821
Издательство: Gazelle Book Services
Классификация:

ISBN-10: 1681171821
Обложка/Формат: Hardback
Страницы: 212
Вес: 0.53 кг.
Дата издания: 01.01.2016
Серия: Mathematics
Язык: English
Размер: 164 x 237 x 15
Читательская аудитория: General (us: trade)
Ключевые слова: Algebra,Geometry
Рейтинг:
Поставляется из: Англии
Описание: Algebraic geometry is a fascinating branch of mathematics that combines methods from both, algebra and geometry. It transcends the limited scope of pure algebra by means of geometric construction principles. The major objects of study in algebraic geometry are algebraic varieties, which are geometric manifestations of solutions of systems of polynomial equations. Examples of the most studied classes of algebraic varieties are: plane algebraic curves, which include lines, circles, parabolas, ellipses, hyperbolas, cubic curves like elliptic curves and quartic curves like lemniscates, and Cassini ovals. Commutative algebra is the branch of algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Commutative algebra is the main technical tool in the local study of schemes. The study of rings which are not necessarily commutative is known as noncommutative algebra; it includes ring theory, representation theory, and the theory of Banach algebras. This textbook provides a gateway into the two difficult fields of algebraic geometry and commutative algebra. Algebraic geometry, supported fundamentally by commutative algebra, is a cornerstone of pure mathematics. This book explores into the rich interplay between algebraic geometry and commutative algebra.

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: 65210.00 T
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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.

Topics in Non-Commutative Geometry

Автор: Manin Y.
Название: Topics in Non-Commutative Geometry
ISBN: 0691607168 ISBN-13(EAN): 9780691607160
Издательство: Wiley
Рейтинг:
Цена: 33790.00 T
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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

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: 121440.00 T
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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 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: 155230.00 T
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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.

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: 153720.00 T
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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.

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: 76030.00 T
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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.


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