Graded Algebras In Algebraic Geometry
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Graded Algebras In Algebraic Geometry
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Author : Aron Simis
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-03-21
Graded Algebras In Algebraic Geometry written by Aron Simis and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-21 with Mathematics categories.
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.
Remarkable Graded Algebras In Algebraic Geometry
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Author : Aron Simis
language : es
Publisher:
Release Date : 1999
Remarkable Graded Algebras In Algebraic Geometry written by Aron Simis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Ring Theory And Algebraic Geometry
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Author : A. Granja
language : en
Publisher: CRC Press
Release Date : 2001-05-08
Ring Theory And Algebraic Geometry written by A. Granja and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-08 with Mathematics categories.
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.
Noncommutative Algebraic Geometry
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Author : Gwyn Bellamy
language : en
Publisher: Cambridge University Press
Release Date : 2016-06-20
Noncommutative Algebraic Geometry written by Gwyn Bellamy and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-20 with Mathematics categories.
This book provides a comprehensive introduction to the interactions between noncommutative algebra and classical algebraic geometry.
Gradings On Simple Lie Algebras
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Author : Alberto Elduque
language : en
Publisher: American Mathematical Soc.
Release Date : 2013
Gradings On Simple Lie Algebras written by Alberto Elduque and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
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.
Algebraic Geometry For Associative Algebras
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Author : Freddy Van Oystaeyen
language : en
Publisher: CRC Press
Release Date : 2000-06-06
Algebraic Geometry For Associative Algebras written by Freddy Van Oystaeyen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-06 with Mathematics categories.
This work focuses on the association of methods from topology, category and sheaf theory, algebraic geometry, noncommutative and homological algebras, quantum groups and spaces, rings of differential operation, Cech and sheaf cohomology theories, and dimension theories to create a blend of noncommutative algebraic geometry. It offers a scheme theory that sustains the duality between algebraic geometry and commutative algebra to the noncommutative level.
Commutative Algebra
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Author : Aron Simis
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-08-07
Commutative Algebra written by Aron Simis and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-07 with Mathematics categories.
The primary audience for this book is students and the young researchers interested in the core of the discipline. Commutative algebra is by and large a self-contained discipline, which makes it quite dry for the beginner with a basic training in elementary algebra and calculus. A stable mathematical discipline such as this enshrines a vital number of topics to be learned at an early stage, more or less universally accepted and practiced. Naturally, authors tend to turn these topics into an increasingly short and elegant list of basic facts of the theory. So, the shorter the better. However, there is a subtle watershed between elegance and usefulness, especially if the target is the beginner. From my experience throughout years of teaching, elegance and terseness do not do it, except much later in the carrier. To become useful, the material ought to carry quite a bit of motivation through justification and usefulness pointers. On the other hand, it is difficult to contemplate these teaching devices in the writing of a short book. I have divided the material in three parts. starting with more elementary sections, then carrying an intermezzo on more difficult themes to make up for a smooth crescendo with additional tools and, finally, the more advanced part, versing on a reasonable chunk of present-day steering of commutative algebra. Historic notes at the end of each chapter provide insight into the original sources and background information on a particular subject or theorem. Exercises are provided and propose problems that apply the theory to solve concrete questions (yes, with concrete polynomials, and so forth).
Commutative Algebra
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Author : Winfried Bruns
language : en
Publisher: Springer
Release Date : 2006-11-14
Commutative Algebra written by Winfried Bruns and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The central theme of this volume is commutative algebra, with emphasis on special graded algebras, which are increasingly of interest in problems of algebraic geometry, combinatorics and computer algebra. Most of the papers have partly survey character, but are research-oriented, aiming at classification and structural results.
Homological And Computational Methods In Commutative Algebra
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Author : Aldo Conca
language : en
Publisher: Springer
Release Date : 2017-11-16
Homological And Computational Methods In Commutative Algebra written by Aldo Conca and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-16 with Mathematics categories.
This volume collects contributions by leading experts in the area of commutative algebra related to the INdAM meeting “Homological and Computational Methods in Commutative Algebra” held in Cortona (Italy) from May 30 to June 3, 2016 . The conference and this volume are dedicated to Winfried Bruns on the occasion of his 70th birthday. In particular, the topics of this book strongly reflect the variety of Winfried Bruns’ research interests and his great impact on commutative algebra as well as its applications to related fields. The authors discuss recent and relevant developments in algebraic geometry, commutative algebra, computational algebra, discrete geometry and homological algebra. The book offers a unique resource, both for young and more experienced researchers seeking comprehensive overviews and extensive bibliographic references.
Non Commutative Algebraic Geometry
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Author : F.M.J. van Oystaeyen
language : en
Publisher: Springer
Release Date : 2006-11-14
Non Commutative Algebraic Geometry written by F.M.J. van Oystaeyen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
