Graded Algebras In Algebraic Geometry

Author : Aron Simis
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110640694
Total Pages : 464 pages
Book Rating : 4.94/5 ( download)

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Download or read book Graded Algebras in Algebraic Geometry written by Aron Simis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-03-21 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to look at certain commutative graded algebras that appear frequently in algebraic geometry. By studying classical constructions from geometry from the point of view of modern commutative algebra, this carefully-written book is a valuable source of information, offering a careful algebraic systematization and treatment of the problems at hand, and contributing to the study of the original geometric questions.

Author : A. Granja
Publisher : CRC Press
ISBN 13 : 0203907965
Total Pages : 363 pages
Book Rating : 4.62/5 ( download)

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Download or read book Ring Theory And Algebraic Geometry written by A. Granja and published by CRC Press. This book was released on 2001-05-08 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on the interaction between algebra and algebraic geometry, including high-level research papers and surveys contributed by over 40 top specialists representing more than 15 countries worldwide. Describes abelian groups and lattices, algebras and binomial ideals, cones and fans, affine and projective algebraic varieties, simplicial and cellular complexes, polytopes, and arithmetics.

Author : Gwyn Bellamy
Publisher : Cambridge University Press
ISBN 13 : 1107129540
Total Pages : 367 pages
Book Rating : 4.42/5 ( download)

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Download or read book Noncommutative Algebraic Geometry written by Gwyn Bellamy and published by Cambridge University Press. This book was released on 2016-06-20 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the interactions between noncommutative algebra and classical algebraic geometry.

Author : Alberto Elduque
Publisher : American Mathematical Soc.
ISBN 13 : 0821898469
Total Pages : 355 pages
Book Rating : 4.68/5 ( download)

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Download or read book Gradings on Simple Lie Algebras written by Alberto Elduque and published by American Mathematical Soc.. This book was released on 2013 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a self-contained exposition of the classification of gradings by arbitrary groups on classical simple Lie algebras over algebraically closed fields of characteristic not equal to 2 as well as on some non-classical simple Lie algebras in positive characteristic. Other important algebras also enter the stage: matrix algebras, the octonions, and the Albert algebra. Most of the presented results are recent and have not yet appeared in book form.

Author : Wolmer Vasconcelos
Publisher : Springer Science & Business Media
ISBN 13 : 9783540213116
Total Pages : 432 pages
Book Rating : 4.12/5 ( download)

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Download or read book Computational Methods in Commutative Algebra and Algebraic Geometry written by Wolmer Vasconcelos and published by Springer Science & Business Media. This book was released on 2004-05-18 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ACM volume deals with tackling problems that can be represented by data structures which are essentially matrices with polynomial entries, mediated by the disciplines of commutative algebra and algebraic geometry. The discoveries stem from an interdisciplinary branch of research which has been growing steadily over the past decade. The author covers a wide range, from showing how to obtain deep heuristics in a computation of a ring, a module or a morphism, to developing means of solving nonlinear systems of equations - highlighting the use of advanced techniques to bring down the cost of computation. Although intended for advanced students and researchers with interests both in algebra and computation, many parts may be read by anyone with a basic abstract algebra course.

Author : David Eisenbud
Publisher : Springer Science & Business Media
ISBN 13 : 1461253500
Total Pages : 784 pages
Book Rating : 4.01/5 ( download)

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Download or read book Commutative Algebra written by David Eisenbud and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. The book gives a concise treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Many exercises included.

Author : Louis Halle Rowen
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.90/5 ( download)

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Download or read book Graduate Algebra: Noncommutative view written by Louis Halle Rowen and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is an expanded text for a graduate course in commutative algebra, focusing on the algebraic underpinnings of algebraic geometry and of number theory. Accordingly, the theory of affine algebras is featured, treated both directly and via the theory of Noetherian and Artinian modules, and the theory of graded algebras is included to provide the foundation for projective varieties."--Jacket.

Author : Sudhir Ghorpade
Publisher : American Mathematical Soc.
ISBN 13 : 0821836293
Total Pages : 192 pages
Book Rating : 4.93/5 ( download)

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Download or read book Commutative Algebra and Algebraic Geometry written by Sudhir Ghorpade and published by American Mathematical Soc.. This book was released on 2005 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first Joint AMS-India Mathematics Meeting was held in Bangalore (India). This book presents articles written by speakers from a special session on commutative algebra and algebraic geometry. Included are contributions from some leading researchers around the world in this subject area. The volume contains new and original research papers and survey articles suitable for graduate students and researchers interested in commutative algebra and algebraic geometry.

Author : A. Rosenberg
Publisher : Springer Science & Business Media
ISBN 13 : 9401584303
Total Pages : 333 pages
Book Rating : 4.02/5 ( download)

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Download or read book Noncommutative Algebraic Geometry and Representations of Quantized Algebras written by A. Rosenberg and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on lectures delivered at Harvard in the Spring of 1991 and at the University of Utah during the academic year 1992-93. Formally, the book assumes only general algebraic knowledge (rings, modules, groups, Lie algebras, functors etc.). It is helpful, however, to know some basics of algebraic geometry and representation theory. Each chapter begins with its own introduction, and most sections even have a short overview. The purpose of what follows is to explain the spirit of the book and how different parts are linked together without entering into details. The point of departure is the notion of the left spectrum of an associative ring, and the first natural steps of general theory of noncommutative affine, quasi-affine, and projective schemes. This material is presented in Chapter I. Further developments originated from the requirements of several important examples I tried to understand, to begin with the first Weyl algebra and the quantum plane. The book reflects these developments as I worked them out in reallife and in my lectures. In Chapter 11, we study the left spectrum and irreducible representations of a whole lot of rings which are of interest for modern mathematical physics. The dasses of rings we consider indude as special cases: quantum plane, algebra of q-differential operators, (quantum) Heisenberg and Weyl algebras, (quantum) enveloping algebra ofthe Lie algebra sl(2) , coordinate algebra of the quantum group SL(2), the twisted SL(2) of Woronowicz, so called dispin algebra and many others.

Author : Aron Simis
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110637758
Total Pages : 398 pages
Book Rating : 4.55/5 ( download)

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Download or read book Graded Algebras in Algebraic Geometry written by Aron Simis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-03-21 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to look at certain commutative graded algebras that appear frequently in algebraic geometry. By studying classical constructions from geometry from the point of view of modern commutative algebra, this carefully-written book is a valuable source of information, offering a careful algebraic systematization and treatment of the problems at hand, and contributing to the study of the original geometric questions. In greater detail, the material covers aspects of rational maps (graph, degree, birationality, specialization, combinatorics), Cremona transformations, polar maps, Gauss maps, the geometry of Fitting ideals, tangent varieties, joins and secants, Aluffi algebras. The book includes sections of exercises to help put in practice the theoretic material instead of the mere complementary additions to the theory.