Cr Geometry And Deformations Of Isolated Singularities

Author : Ragnar-Olaf Buchweitz,John James Millson
Publisher : American Mathematical Soc.
Page : 111 pages
File Size : 43,9 Mb
Release : 1997
Category : CR submanifolds
ISBN : 9780821805411

Get Book

CR-Geometry and Deformations of Isolated Singularities by Ragnar-Olaf Buchweitz,John James Millson Pdf

In this power we show how to compute the parameter space [italic capital]X for the versal deformation of an isolated singularity ([italic capital]V, 0) under the assumptions [italic]dim [italic capital]V [greater than or equal to symbol] 4, depth {0} [italic capital]V [greater than or equal to symbol] 3, from the CR-structure on a link [italic capital]M of the singularity. We do this by showing that the space [italic capital]X is isomorphic to the space (denoted here by [script capital]K[subscript italic capital]M) associated to [italic capital]M by Kuranishi in 1977. In fact we produce isomorphisms of the associated complete local rings by producing quasi-isomorphisms of the controlling differential graded Lie algebras for the corresponding formal deformation theories.

Author : Gert-Martin Greuel,Christoph Lossen,Eugenii I. Shustin
Publisher : Springer Science & Business Media
Page : 482 pages
File Size : 49,5 Mb
Release : 2007-02-23
Category : Mathematics
ISBN : 9783540284192

Get Book

Introduction to Singularities and Deformations by Gert-Martin Greuel,Christoph Lossen,Eugenii I. Shustin Pdf

Singularity theory is a young, rapidly-growing topic with connections to algebraic geometry, complex analysis, commutative algebra, representations theory, Lie groups theory and topology, and many applications in the natural and technical sciences. This book presents the basic singularity theory of analytic spaces, including local deformation theory and the theory of plane curve singularities. It includes complete proofs.

Author : Robert Everist Greene,Shing-Tung Yau
Publisher : American Mathematical Soc.
Page : 681 pages
File Size : 45,9 Mb
Release : 1993
Category : Complex manifolds
ISBN : 9780821814956

Get Book

Differential Geometry: Geometry in Mathematical Physics and Related Topics by Robert Everist Greene,Shing-Tung Yau Pdf

The second of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Among the subjects of Part 2 are gauge theory, symplectic geometry, complex ge

Author : Adam Coffman
Publisher : American Mathematical Soc.
Page : 105 pages
File Size : 55,6 Mb
Release : 2010
Category : CR submanifolds
ISBN : 9780821846575

Get Book

Unfolding CR Singularities by Adam Coffman Pdf

"Volume 205, number 962 (first of 5 numbers)."

Author : Sorin Dragomir,Giuseppe Tomassini
Publisher : Springer Science & Business Media
Page : 499 pages
File Size : 52,8 Mb
Release : 2007-06-10
Category : Mathematics
ISBN : 9780817644833

Get Book

Differential Geometry and Analysis on CR Manifolds by Sorin Dragomir,Giuseppe Tomassini Pdf

Presents many major differential geometric acheivements in the theory of CR manifolds for the first time in book form Explains how certain results from analysis are employed in CR geometry Many examples and explicitly worked-out proofs of main geometric results in the first section of the book making it suitable as a graduate main course or seminar textbook Provides unproved statements and comments inspiring further study

Author : Canadian Mathematical Society. Summer Meeting
Publisher : American Mathematical Soc.
Page : 198 pages
File Size : 46,9 Mb
Release : 1992
Category : Mathematics
ISBN : 0821860178

Get Book

Differential Geometry, Global Analysis, and Topology by Canadian Mathematical Society. Summer Meeting Pdf

This book contains the proceedings of a special session held during the Summer Meeting of the Canadian Mathematical Society in 1990. The articles collected here reflect the diverse interests of the participants but are united by the common theme of the interplay among geometry, global analysis, and topology. The topics covered include applications to low dimensional manifolds, control theory, integrable systems, Lie algebras of operators, and algebraic geometry and provide an insight into some recent trends in these areas.

Author : Richard Bucher Sowers
Publisher : American Mathematical Soc.
Page : 145 pages
File Size : 43,6 Mb
Release : 1998
Category : Filters
ISBN : 9780821806494

Get Book

Short-Time Geometry of Random Heat Kernels by Richard Bucher Sowers Pdf

This volume studies the behaviour of a random heat kernel associated with a stochastic partial differential equation, and gives short-time expansion of this heat kernel. The author finds that the dominant exponential term is classical and depends only on the Riemannian distance function. The second exponential term is a work term and also has classical meaning. There is also a third non-negligible exponential term which blows up. The author finds an expression for this third exponential term which involves a random translation of the index form and the equations of Jacobi fields. In the process, he develops a method to approximate the heat kernel to any arbitrary degree of precision.

Author : Robert Everist Greene,Shing-Tung Yau
Publisher : American Mathematical Soc.
Page : 710 pages
File Size : 50,6 Mb
Release : 1993
Category : Mathematics
ISBN : 9780821814963

Get Book

Differential Geometry: Riemannian Geometry by Robert Everist Greene,Shing-Tung Yau Pdf

The third of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Part 3 begins with an overview by R.E. Greene of some recent trends in Riemannia

Author : Qikeng Lu
Publisher : American Mathematical Soc.
Page : 354 pages
File Size : 54,5 Mb
Release : 1997
Category : CR submanifolds
ISBN : 9780821806623

Get Book

Singularities and Complex Geometry by Qikeng Lu Pdf

This book presents the proceedings of the joint U.S.-China Seminar on Singularity and Complex Geometry held at the Institute of Mathematics of the Chinese Academy, Beijing, in June 1994. This was the first gathering of Chinese and American mathematicians working in these fields (several Japanese mathematicians also took part). The volume covers a wide range of problems in areas such as CR-manifolds, value distribution theory of holomorphic curves, topology of the complements of algebraic plane curves with singularities and arrangements, topology of non-isolated singularities, gauge theory on resolutions of simple singularities, and residues of foliations. The articles give accounts of research in these fast developing areas. Much of the material appears here for the first time in print. Titles in this series are co-published with International Press, Cambridge, MA, USA.

Author : Robert Everist Greene,Shing-Tung Yau
Publisher : American Mathematical Soc.
Page : 560 pages
File Size : 48,8 Mb
Release : 1993
Category : Mathematics
ISBN : 9780821814949

Get Book

Differential Geometry: Partial Differential Equations on Manifolds by Robert Everist Greene,Shing-Tung Yau Pdf

The first of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Part 1 begins with a problem list by S.T. Yau, successor to his 1980 list ( Sem

Author : Wolfgang Bulla,F. Gesztesy,H. Holden,G. Teschl
Publisher : American Mathematical Soc.
Page : 97 pages
File Size : 43,9 Mb
Release : 1998
Category : Evolution equations, Nonlinear
ISBN : 9780821808085

Get Book

Algebro-Geometric Quasi-Periodic Finite-Gap Solutions of the Toda and Kac-van Moerbeke Hierarchies by Wolfgang Bulla,F. Gesztesy,H. Holden,G. Teschl Pdf

In this work, the authors provide a self-contained discussion of all real-valued quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies of completely integrable evolution equations. The approach utilizes algebro-geometric methods, factorization techniques for finite difference expressions, as well as Miura-type transformations. Detailed spectral theoretic properties of Lax pairs and theta function representations of the solutions are derived. Features: Simple and unified treatment of the topic. Self-contained development. Novel results for the Kac-van Moerbeke hierarchy and its algebro-geometric solutions.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 50,9 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9789814477048

Get Book

Singularities in Geometry and Topology by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 272 pages
File Size : 48,9 Mb
Release : 2003
Category : Mathematics
ISBN : UCSD:31822022856314

Get Book

Sūgaku Expositions by Anonim Pdf

Author : Shouchuan Hu,Nikolaos Socrates Papageorgiou
Publisher : American Mathematical Soc.
Page : 81 pages
File Size : 51,7 Mb
Release : 1998
Category : Mathematics
ISBN : 9780821807798

Get Book

Time-Dependent Subdifferential Evolution Inclusions and Optimal Control by Shouchuan Hu,Nikolaos Socrates Papageorgiou Pdf

This volume studies multivalued evolution equations driven by time-dependent subdifferential operators and optimal control problems for such systems. The formulation is general enough to incorporate problems with time varying constraints. For evolution inclusions, existence relaxation and structural results for the solution set are proved. For optimal control problems, a general existence theory is developed, different forms of the relaxed problem are introduced and studied, well-posedness properties are investigated and the precise relation between the properties of relaxability and well-posedness is established. Various examples of systems which fit in the abstract framework are analyzed.

Author : Mikhail Borovoi
Publisher : American Mathematical Soc.
Page : 50 pages
File Size : 51,5 Mb
Release : 1998
Category : Mathematics
ISBN : 9780821806500

Get Book

Abelian Galois Cohomology of Reductive Groups by Mikhail Borovoi Pdf

In this volume, a new functor $H^2_{ab}(K,G)$ of abelian Galois cohomology is introduced from the category of connected reductive groups $G$ over a field $K$ of characteristic $0$ to the category of abelian groups. The abelian Galois cohomology and the abelianization map$ab^1:H^1(K,G) \rightarrow H^2_{ab}(K,G)$ are used to give a functorial, almost explicit description of the usual Galois cohomology set $H^1(K,G)$ when $K$ is a number field.