Ring Theory And Algebraic Geometry PDF Download
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Author: A. Granja
Publisher: CRC Press
ISBN: 9780203907962
Category : Mathematics
Languages : en
Pages : 366
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Book Description
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: A. Granja
Publisher: CRC Press
ISBN: 9780203907962
Category : Mathematics
Languages : en
Pages : 366
Get Book Here
Book Description
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: F. van Oystaeyen
Publisher:
ISBN: 9783662212851
Category :
Languages : en
Pages : 314
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Book Description
Author: F. van Oystaeyen
Publisher: Springer
ISBN: 354039057X
Category : Mathematics
Languages : en
Pages : 312
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Book Description
Author:
Publisher:
ISBN: 9780387112169
Category :
Languages : en
Pages : 0
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Book Description
Author: Stefaan Caenepeel
Publisher: Springer Science & Business Media
ISBN: 9781402003462
Category : Mathematics
Languages : en
Pages : 516
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Book Description
This volume is devoted to the Brauer group of a commutative ring and related invariants. Part I presents a new self-contained exposition of the Brauer group of a commutative ring. Included is a systematic development of the theory of Grothendieck topologies and étale cohomology, and discussion of topics such as Gabber's theorem and the theory of Taylor's big Brauer group of algebras without a unit. Part II presents a systematic development of the Galois theory of Hopf algebras with special emphasis on the group of Galois objects of a cocommutative Hopf algebra. The development of the theory is carried out in such a way that the connection to the theory of the Brauer group in Part I is made clear. Recent developments are considered and examples are included. The Brauer-Long group of a Hopf algebra over a commutative ring is discussed in Part III. This provides a link between the first two parts of the volume and is the first time this topic has been discussed in a monograph. Audience: Researchers whose work involves group theory. The first two parts, in particular, can be recommended for supplementary, graduate course use.
Author: Gonçalo Tabuada
Publisher: American Mathematical Soc.
ISBN: 1470423979
Category : Mathematics
Languages : en
Pages : 127
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Book Description
The theory of motives began in the early 1960s when Grothendieck envisioned the existence of a "universal cohomology theory of algebraic varieties". The theory of noncommutative motives is more recent. It began in the 1980s when the Moscow school (Beilinson, Bondal, Kapranov, Manin, and others) began the study of algebraic varieties via their derived categories of coherent sheaves, and continued in the 2000s when Kontsevich conjectured the existence of a "universal invariant of noncommutative algebraic varieties". This book, prefaced by Yuri I. Manin, gives a rigorous overview of some of the main advances in the theory of noncommutative motives. It is divided into three main parts. The first part, which is of independent interest, is devoted to the study of DG categories from a homotopical viewpoint. The second part, written with an emphasis on examples and applications, covers the theory of noncommutative pure motives, noncommutative standard conjectures, noncommutative motivic Galois groups, and also the relations between these notions and their commutative counterparts. The last part is devoted to the theory of noncommutative mixed motives. The rigorous formalization of this latter theory requires the language of Grothendieck derivators, which, for the reader's convenience, is revised in a brief appendix.
Author: Bill Jacob
Publisher: American Mathematical Soc.
ISBN: 0821803409
Category : Mathematics
Languages : en
Pages : 458
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Book Description
Volume 2 of two - also available in a set of both volumes.
Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 0817646132
Category : Mathematics
Languages : en
Pages : 757
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Book Description
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.
Author: Stefaan Caenepeel
Publisher: CRC Press
ISBN: 1000116735
Category : Mathematics
Languages : en
Pages : 349
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Book Description
"Based on papers presented at a recent international conference on algebra and algebraic geometry held jointly in Antwerp and Brussels, Belgium. Presents both survey and research articles featuring new results from the intersection of algebra and geometry. "
Author: Igor R. Shafarevich
Publisher: Springer Science & Business Media
ISBN: 9783540251774
Category : Mathematics
Languages : en
Pages : 272
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Book Description
Wholeheartedly recommended to every student and user of mathematics, this is an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields studied in every university maths course, through Lie groups to cohomology and category theory, the author shows how the origins of each concept can be related to attempts to model phenomena in physics or in other branches of mathematics. Required reading for mathematicians, from beginners to experts.
