Cr Geometry And Deformations Of Isolated Singularities
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| Author | : Ragnar-Olaf Buchweitz |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 111 |
| Release | : 1997 |
| Genre | : Mathematics |
| ISBN | : 082180541X |
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 |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 482 |
| Release | : 2007-02-23 |
| Genre | : Mathematics |
| ISBN | : 3540284192 |
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 | : Jan Stevens |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 172 |
| Release | : 2003 |
| Genre | : Deformations of singularities |
| ISBN | : 9783540005605 |
| Author | : Canadian Mathematical Society. Summer Meeting |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 198 |
| Release | : 1992 |
| Genre | : Mathematics |
| ISBN | : 9780821860175 |
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 | : Jean-paul Brasselet |
| Publisher | : World Scientific |
| Total Pages | : 917 |
| Release | : 2007-01-16 |
| Genre | : Mathematics |
| ISBN | : 9814477044 |
Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolving areas in physics. The purpose of this proceedings volume is to cover recent developments in singularity theory and to introduce young researchers from developing countries to singularities in geometry and topology.The contributions discuss singularities in both complex and real geometry. As such, they provide a natural continuation of the previous school on singularities held at ICTP (1991), which is recognized as having had a major influence in the field.
| Author | : Richard Bucher Sowers |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 145 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : 0821806491 |
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 | : Adam Coffman |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 105 |
| Release | : 2010 |
| Genre | : Mathematics |
| ISBN | : 0821846574 |
"Volume 205, number 962 (first of 5 numbers)."
| Author | : Robert Everist Greene |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 735 |
| Release | : 1993 |
| Genre | : Mathematics |
| ISBN | : 0821814966 |
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 | : Robert Everist Greene |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 681 |
| Release | : 1993 |
| Genre | : Mathematics |
| ISBN | : 0821814958 |
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 | : Robert Everist Greene |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 585 |
| Release | : 1993 |
| Genre | : Mathematics |
| ISBN | : 082181494X |
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
