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Book
Classical Hopf algebras and their applications
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ISBN: 9783030778446 9783030778453 Year: 2021 Publisher: Cham Springer

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Book
Image processing with cellular topology
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ISBN: 9789811657726 Year: 2021 Publisher: Singapore : Springer,

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Digital
Equivariant Cohomology of Configuration Spaces Mod 2 : The State of the Art
Authors: --- --- --- ---
ISBN: 9783030841386 9783030841393 9783030841379 Year: 2021 Publisher: Cham Springer International Publishing

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This book gives a brief treatment of the equivariant cohomology of the classical configuration space F(ℝ


Digital
The Theory of Near-Rings
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ISBN: 9783030817558 9783030817565 9783030817541 Year: 2021 Publisher: Cham Springer International Publishing

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This book offers an original account of the theory of near-rings, with a considerable amount of material which has not previously been available in book form, some of it completely new. The book begins with an introduction to the subject and goes on to consider the theory of near-fields, transformation near-rings and near-rings hosted by a group. The bulk of the chapter on near-fields has not previously been available in English. The transformation near-rings chapters considerably augment existing knowledge and the chapters on product hosting are essentially new. Other chapters contain original material on new classes of near-rings and non-abelian group cohomology. The Theory of Near-Rings will be of interest to researchers in the subject and, more broadly, ring and representation theorists. The presentation is elementary and self-contained, with the necessary background in group and ring theory available in standard references.


Book
The Brauer-Grothendieck group
Authors: ---
ISBN: 9783030742485 9783030742492 9783030742478 3030742474 3030742482 Year: 2021 Publisher: Cham, Switzerland : Springer,

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This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry. The importance of the cohomological Brauer group for applications to Diophantine equations and algebraic geometry was discovered soon after this group was introduced by Grothendieck. The Brauer-Manin obstruction plays a crucial role in the study of rational points on varieties over global fields. The birational invariance of the Brauer group was recently used in a novel way to establish the irrationality of many new classes of algebraic varieties. The book covers the vast theory underpinning these and other applications. Intended as an introduction to cohomological methods in algebraic geometry, most of the book is accessible to readers with a knowledge of algebra, algebraic geometry and algebraic number theory at graduate level. Much of the more advanced material is not readily available in book form elsewhere; notably, de Jong's proof of Gabber's theorem, the specialisation method and applications of the Brauer group to rationality questions, an in-depth study of the Brauer-Manin obstruction, and proof of the finiteness theorem for the Brauer group of abelian varieties and K3 surfaces over finitely generated fields. The book surveys recent work but also gives detailed proofs of basic theorems, maintaining a balance between general theory and concrete examples. Over half a century after Grothendieck's foundational seminars on the topic, The Brauer-Grothendieck Group is a treatise that fills a longstanding gap in the literature, providing researchers, including research students, with a valuable reference on a central object of algebraic and arithmetic geometry. --


Book
Handbook of geometry and topology of singularities II
Authors: --- ---
ISBN: 3030780244 3030780236 9783030780234 Year: 2021 Publisher: Cham, Switzerland : Springer,


Multi
The Brauer-Grothendieck group
Authors: ---
ISBN: 9783030742485 9783030742492 9783030742478 3030742474 Year: 2021 Publisher: Cham Springer Nature

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This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry. The importance of the cohomological Brauer group for applications to Diophantine equations and algebraic geometry was discovered soon after this group was introduced by Grothendieck. The Brauer-Manin obstruction plays a crucial role in the study of rational points on varieties over global fields. The birational invariance of the Brauer group was recently used in a novel way to establish the irrationality of many new classes of algebraic varieties. The book covers the vast theory underpinning these and other applications. Intended as an introduction to cohomological methods in algebraic geometry, most of the book is accessible to readers with a knowledge of algebra, algebraic geometry and algebraic number theory at graduate level. Much of the more advanced material is not readily available in book form elsewhere; notably, de Jong's proof of Gabber's theorem, the specialisation method and applications of the Brauer group to rationality questions, an in-depth study of the Brauer-Manin obstruction, and proof of the finiteness theorem for the Brauer group of abelian varieties and K3 surfaces over finitely generated fields. The book surveys recent work but also gives detailed proofs of basic theorems, maintaining a balance between general theory and concrete examples. Over half a century after Grothendieck's foundational seminars on the topic, The Brauer-Grothendieck Group is a treatise that fills a longstanding gap in the literature, providing researchers, including research students, with a valuable reference on a central object of algebraic and arithmetic geometry. --


Book
Hajnal Andréka and István Németi on unity of science : from computing to relativity theory through algebraic logic
Authors: ---
ISBN: 3030641872 3030641864 Year: 2021 Publisher: Cham, Switzerland : Springer,

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Book
Polynomial Identities in Algebras
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ISBN: 9783030631116 9783030631123 9783030631130 9783030631109 Year: 2021 Publisher: Cham Springer International Publishing :Imprint: Springer

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Book
Singularities and Their Interaction with Geometry and Low Dimensional Topology
Authors: --- --- ---
ISBN: 9783030619589 9783030619596 9783030619602 9783030619572 Year: 2021 Publisher: Cham Springer International Publishing :Imprint: Birkhäuser

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