Author: Joseph Lipman Publisher: American Mathematical Soc. ISBN: 0821850709 Category : Mathematics Languages : en Pages : 106
Book Description
Requiring only some understanding of homological algebra and commutative ring theory, this book gives those who have encountered Grothendieck residues in geometry or complex analysis an understanding of residues, as well as an appreciation of Hochschild homology.
Author: Reinhold Hübl Publisher: Springer ISBN: 3540461256 Category : Mathematics Languages : en Pages : 115
Book Description
This monograph provides an introduction to, as well as a unification and extension of the published work and some unpublished ideas of J. Lipman and E. Kunz about traces of differential forms and their relations to duality theory for projective morphisms. The approach uses Hochschild-homology, the definition of which is extended to the category of topological algebras. Many results for Hochschild-homology of commutative algebras also hold for Hochschild-homology of topological algebras. In particular, after introducing an appropriate notion of completion of differential algebras, one gets a natural transformation between differential forms and Hochschild-homology of topological algebras. Traces of differential forms are of interest to everyone working with duality theory and residue symbols. Hochschild-homology is a useful tool in many areas of k-theory. The treatment is fairly elementary and requires only little knowledge in commutative algebra and algebraic geometry.
Author: Gennady Lybeznik Publisher: CRC Press ISBN: 1482275767 Category : Mathematics Languages : en Pages : 358
Book Description
This volume collects presentations from the international workshop on local cohomology held in Guanajuato, Mexico, including expanded lecture notes of two minicourses on applications in equivariant topology and foundations of duality theory, and chapters on finiteness properties, D-modules, monomial ideals, combinatorial analysis, and related topics. Featuring selected papers from renowned experts around the world, Local Cohomology and Its Applications is a provocative reference for algebraists, topologists, and upper-level undergraduate and graduate students in these disciplines.
Author: Ernst Kunz Publisher: American Mathematical Soc. ISBN: 0821850857 Category : Mathematics Languages : en Pages : 166
Book Description
Suitable for students and researchers in commutative algebra, algebraic geometry, and neighboring disciplines, this book introduces various sheaves of differential forms for equidimensional morphisms of finite type between noetherian schemes, the most important being the sheaf of regular differential forms.
Author: Thorsten Holm Publisher: Cambridge University Press ISBN: 1139488880 Category : Mathematics Languages : en Pages : 473
Book Description
A 2010 collection of survey articles by leading experts covering fundamental aspects of triangulated categories, as well as applications in algebraic geometry, representation theory, commutative algebra, microlocal analysis and algebraic topology. This is a valuable reference for experts and a useful introduction for graduate students entering the field.
Author: Cristodor Ionescu Publisher: Springer Nature ISBN: 303122292X Category : Mathematics Languages : en Pages : 487
Book Description
This monograph provides an exhaustive treatment of several classes of Noetherian rings and morphisms of Noetherian local rings. Chapters carefully examine some of the most important topics in the area, including Nagata, F-finite and excellent rings, Bertini’s Theorem, and Cohen factorizations. Of particular interest is the presentation of Popescu’s Theorem on Neron Desingularization and the structure of regular morphisms, with a complete proof. Classes of Good Noetherian Rings will be an invaluable resource for researchers in commutative algebra, algebraic and arithmetic geometry, and number theory.
Author: Steven Lord Publisher: Walter de Gruyter GmbH & Co KG ISBN: 3110700247 Category : Mathematics Languages : en Pages : 4197
Book Description
This volume introduces noncommutative integration theory on semifinite von Neumann algebras and the theory of singular traces for symmetric operator spaces. Deeper aspects of the association between measurability, poles and residues of spectral zeta functions, and asymptotics of heat traces are studied. Applications in Connes’ noncommutative geometry that are detailed include integration of quantum differentials, measures on fractals, and Connes’ character formula concerning the Hochschild class of the Chern character.
Author: Jean-Louis Loday Publisher: Springer Science & Business Media ISBN: 3662217392 Category : Mathematics Languages : en Pages : 467
Book Description
This book is a comprehensive study of cyclic homology theory together with its relationship with Hochschild homology, de Rham cohomology, S1 equivariant homology, the Chern character, Lie algebra homology, algebraic K-theory and non-commutative differential geometry. Though conceived as a basic reference on the subject, many parts of this book are accessible to graduate students.
Author: Joseph Lipman
Author: Reinhold Hübl
Author: Reinhold Hubl
Author: Gennady Lybeznik
Author: Ernst Kunz
Author: Thorsten Holm
Author: Cristodor Ionescu
Author: Steven Lord
Author: Jean-Louis Loday
Author: Dale Husemöller