The Cohen Macaulay And Gorenstein Rees Algebras Associated To Filtrations
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The Cohen Macaulay And Gorenstein Rees Algebras Associated To Filtrations
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Author : Shirō Gotō
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
The Cohen Macaulay And Gorenstein Rees Algebras Associated To Filtrations written by Shirō Gotō 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 1994 with Mathematics categories.
At first, this volume was intended to be an investigation of symbolic blow-up rings for prime ideals defining curve singularities. The motivation for that has come from the recent 3-dimensional counterexamples to Cowsik's question, given by the authors and Watanabe: it has to be helpful, for further researches on Cowsik's question and a related problem of Kronecker, to generalize their methods to those of a higher dimension. However, while the study was progressing, it proved apparent that the framework of Part I still works, not only for the rather special symbolic blow-up rings but also in the study of Rees algebras R(F) associated to general filtrations F = {F[subscript]n} [subscript]n [subscript][set membership symbol][subscript bold]Z of ideals. This observation is closely explained in Part II of this volume, as a general ring-theory of Rees algebras R(F). We are glad if this volume will be a new starting point for the further researchers on Rees algebras R(F) and their associated graded rings G(F).
The Cohen Macaulay And Gorenstein Rees Algebras Associated To Filtrations
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Author : Shirō Gotō
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2014-08-31
The Cohen Macaulay And Gorenstein Rees Algebras Associated To Filtrations written by Shirō Gotō and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-31 with Cohen-Macaulay rings categories.
This monograph consists of two parts. Part I investigates the Cohen-Macaulay and Gorenstein properties of symbolic Rees algebras for one-dimensional prime ideals in Cohen-Macaulay local rings. Practical criteria for these algebras to be Cohen-Macaulay and Gorenstein rings are described in terms of certain elements in the prime ideals. This framework is generalized in Part II to Rees algebras R(F) and graded rings G(F) associated to general filtrations of ideals in arbitrary Noetherian local rings. Goto and Nishida give certain cohomological characterizations for algebras R(F) to be Cohen-Macaulay or Gorenstein rings in connection with the corresponding ring-theoretic properties of G(F). In this way, readers follow a history of the development of the ring theory of Rees algebras. The book raises many open questions.
Geometric And Combinatorial Aspects Of Commutative Algebra
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Author : Jurgen Herzog
language : en
Publisher: CRC Press
Release Date : 2001-03-06
Geometric And Combinatorial Aspects Of Commutative Algebra written by Jurgen Herzog and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-06 with Mathematics categories.
This work is based on the lectures presented at the International Conference of Commutative Algebra and Algebraic Geometry held in Messina, Italy. It discusses developments and advances in commutative algebra, algebraic geometry, and combinatorics - highlighting the theory of projective schemes, the geometry of curves, determinantal and stable idea
Numerical Semigroups
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Author : Valentina Barucci
language : en
Publisher: Springer Nature
Release Date : 2020-05-13
Numerical Semigroups written by Valentina Barucci and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-13 with Mathematics categories.
This book presents the state of the art on numerical semigroups and related subjects, offering different perspectives on research in the field and including results and examples that are very difficult to find in a structured exposition elsewhere. The contents comprise the proceedings of the 2018 INdAM “International Meeting on Numerical Semigroups”, held in Cortona, Italy. Talks at the meeting centered not only on traditional types of numerical semigroups, such as Arf or symmetric, and their usual properties, but also on related types of semigroups, such as affine, Puiseux, Weierstrass, and primary, and their applications in other branches of algebra, including semigroup rings, coding theory, star operations, and Hilbert functions. The papers in the book reflect the variety of the talks and derive from research areas including Semigroup Theory, Factorization Theory, Algebraic Geometry, Combinatorics, Commutative Algebra, Coding Theory, and Number Theory. The book is intended for researchers and students who want to learn about recent developments in the theory of numerical semigroups and its connections with other research fields.
Filtrations On The Homology Of Algebraic Varieties
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Author : Eric M. Friedlander
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Filtrations On The Homology Of Algebraic Varieties written by Eric M. Friedlander 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 1994 with Mathematics categories.
This work provides a detailed exposition of a classical topic from a very recent viewpoint. Friedlander and Mazur describe some foundational aspects of ``Lawson homology'' for complex projective algebraic varieties, a homology theory defined in terms of homotopy groups of spaces of algebraic cycles. Attention is paid to methods of group completing abelian topological monoids. The authors study properties of Chow varieties, especially in connection with algebraic correspondences relating algebraic varieties. Operations on Lawson homology are introduced and analysed. These operations lead to a filtration on the singular homology of algebraic varieties, which is identified in terms of correspondences and related to classical filtrations of Hodge and Grothendieck.
Triangular Algebras And Ideals Of Nest Algebras
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Author : John Lindsay Orr
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Triangular Algebras And Ideals Of Nest Algebras written by John Lindsay Orr 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 1995 with Mathematics categories.
Immersive environments such as virtual reality technology makes possible can respond to their audiences, so that each person's experience of the environment is unique. This volume brings together 11 essays along with artists' projects produced at the Banff Centre for the Arts in Canada to explore issues raised by the creation of virtual environments. The essays approach the social and cultural implications of cyberspace from the perspective of cultural studies, communications, art history, art criticism, English, and women's studies; while artists who created nine virtual worlds at the Banff Centre discuss what they have tried to accomplish in both theoretical and technical terms. With 64 illustrations, including 18 color plates. Annotation copyright by Book News, Inc., Portland, OR
Hilbert Modules Over Operator Algebras
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Author : Paul S. Muhly
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Hilbert Modules Over Operator Algebras written by Paul S. Muhly 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 1995 with Mathematics categories.
Addresses the three-dimensional generalization of category, offering a full definition of tricategory; a proof of the coherence theorem for tricategories; and a modern source of material on Gray's tensor product of 2-categories. Of interest to research mathematicians; theoretical physicists, algebraic topologists; 3-D computer scientists; and theoretical computer scientists. Society members, $19.00. No index. Annotation copyright by Book News, Inc., Portland, OR
Algebraic Geometry Salt Lake City 2015
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Author : Tommaso de Fernex
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-06-01
Algebraic Geometry Salt Lake City 2015 written by Tommaso de Fernex 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 2018-06-01 with Mathematics categories.
This is Part 1 of a two-volume set. Since Oscar Zariski organized a meeting in 1954, there has been a major algebraic geometry meeting every decade: Woods Hole (1964), Arcata (1974), Bowdoin (1985), Santa Cruz (1995), and Seattle (2005). The American Mathematical Society has supported these summer institutes for over 50 years. Their proceedings volumes have been extremely influential, summarizing the state of algebraic geometry at the time and pointing to future developments. The most recent Summer Institute in Algebraic Geometry was held July 2015 at the University of Utah in Salt Lake City, sponsored by the AMS with the collaboration of the Clay Mathematics Institute. This volume includes surveys growing out of plenary lectures and seminar talks during the meeting. Some present a broad overview of their topics, while others develop a distinctive perspective on an emerging topic. Topics span both complex algebraic geometry and arithmetic questions, specifically, analytic techniques, enumerative geometry, moduli theory, derived categories, birational geometry, tropical geometry, Diophantine questions, geometric representation theory, characteristic and -adic tools, etc. The resulting articles will be important references in these areas for years to come.
Compact Connected Lie Transformation Groups On Spheres With Low Cohomogeneity I
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Author : Eldar Straume
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Compact Connected Lie Transformation Groups On Spheres With Low Cohomogeneity I written by Eldar Straume 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 1996 with Mathematics categories.
The cohomogeneity of a transformation group ([italic capitals]G, X) is, by definition, the dimension of its orbit space, [italic]c = dim [italic capitals]X, G. By enlarging this simple numerical invariant, but suitably restricted, one gradually increases the complexity of orbit structures of transformation groups. This is a natural program for classical space forms, which traditionally constitute the first canonical family of testing spaces, due to their unique combination of topological simplicity and abundance in varieties of compact differentiable transformation groups.
Classification Of Direct Limits Of Even Cuntz Circle Algebras
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Author : Huaxin Lin
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Classification Of Direct Limits Of Even Cuntz Circle Algebras written by Huaxin Lin 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 1995 with Mathematics categories.
We prove a classification theorem for purely infinite C∗-algebras that is strong enough to show that the tensor products of two different irrational rotation algebras with the same even Cuntz algebra are isomorphic.