Deformations Of Surface Singularities
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Deformations Of Surface Singularities
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Author : Andras Némethi
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-01-24
Deformations Of Surface Singularities written by Andras Némethi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-24 with Mathematics categories.
The present publication contains a special collection of research and review articles on deformations of surface singularities, that put together serve as an introductory survey of results and methods of the theory, as well as open problems and examples. The aim is to collect material that will help mathematicians already working or wishing to work in this area to deepen their insight and eliminate the technical barriers in this learning process. Additionally, we introduce some material which emphasizes the newly found relationship with the theory of Stein fillings and symplectic geometry. This links two main theories of mathematics: low dimensional topology and algebraic geometry. The theory of normal surface singularities is a distinguished part of analytic or algebraic geometry with several important results, its own technical machinery, and several open problems. Recently several connections were established with low dimensional topology, symplectic geometry and theory of Stein fillings. This created an intense mathematical activity with spectacular bridges between the two areas. The theory of deformation of singularities is the key object in these connections.
Deformations Of Surface Singularities
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Author : Bolyai János Matematikai Társulat
language : en
Publisher:
Release Date : 2013
Deformations Of Surface Singularities written by Bolyai János Matematikai Társulat and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Singularities (Mathematics) categories.
Deformations Of Singularities
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Author : Jan Stevens
language : en
Publisher: Springer Science & Business Media
Release Date : 2003
Deformations Of Singularities written by Jan Stevens and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Deformations of singularities categories.
Splitting Deformations Of Degenerations Of Complex Curves
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Author : Shigeru Takamura
language : en
Publisher: Springer
Release Date : 2006-07-26
Splitting Deformations Of Degenerations Of Complex Curves written by Shigeru Takamura and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-26 with Mathematics categories.
Here is a deformation theory for degenerations of complex curves; specifically, discussing deformations which induce splitting of the singular fiber of a degeneration. The author constructs a deformation of the degeneration in such a way that a subdivisor is "barked," or peeled off from the singular fiber. "Barking deformations" are related to deformations of surface singularities, in particular, cyclic quotient singularities, as well as the mapping class groups of Riemann surfaces via monodromies.
Introduction To Singularities And Deformations
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Author : Gert-Martin Greuel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-02-23
Introduction To Singularities And Deformations written by Gert-Martin Greuel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-23 with Mathematics categories.
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.
Splitting Deformations Of Degenerations Of Complex Curves
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Author : Shigeru Takamura
language : en
Publisher:
Release Date : 2006-01-01
Splitting Deformations Of Degenerations Of Complex Curves written by Shigeru Takamura and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Curves, Algebraic categories.
The author develops a deformation theory for degenerations of complex curves; specifically, he treats deformations which induce splittings of the singular fiber of a degeneration. He constructs a deformation of the degeneration in such a way that a subdivisor is "barked" (peeled) off from the singular fiber. These "barking deformations" are related to deformations of surface singularities (in particular, cyclic quotient singularities) as well as the mapping class groups of Riemann surfaces (complex curves) via monodromies. Important applications, such as the classification of atomic degenerations, are also explained.
Singularities In Geometry And Topology
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Author :
language : en
Publisher:
Release Date :
Singularities In Geometry And Topology written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Resolution Of Surface Singularities
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Author : Vincent Cossart
language : en
Publisher: Springer
Release Date : 2006-11-14
Resolution Of Surface Singularities written by Vincent Cossart and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Singularity Theory And Its Applications
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Author : David Mond
language : en
Publisher: Springer
Release Date : 2006-11-14
Singularity Theory And Its Applications written by David Mond and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
A workshop on Singularities, Bifurcation and Dynamics was held at Warwick in July 1989 as part of a year-long symposium on Singularity Theory and its applications. The proceedings fall into two halves: Volume I mainly on connections with algebraic geometry and volume II on connections with dynamical systems theory, bifurcation theory, and applications in the sciences. The papers are orginal research, stimulated by the symposium and workshops: All have been refereed, and none will appear elsewhere. The main topic, deformation theory, is represented by several papers on descriptions of the bases of versal deformations, and several more on descriptions of the generic fibres. Other topics include stratifications, and applications to differential geometry.
Singularity Theory And Its Applications
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Author : David Mond
language : en
Publisher: Springer
Release Date : 1991-07-15
Singularity Theory And Its Applications written by David Mond and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-07-15 with Mathematics categories.
A workshop on Singularities, Bifurcation and Dynamics was held at Warwick in July 1989 as part of a year-long symposium on Singularity Theory and its applications. The proceedings fall into two halves: Volume I mainly on connections with algebraic geometry and volume II on connections with dynamical systems theory, bifurcation theory, and applications in the sciences. The papers are orginal research, stimulated by the symposium and workshops: All have been refereed, and none will appear elsewhere. The main topic, deformation theory, is represented by several papers on descriptions of the bases of versal deformations, and several more on descriptions of the generic fibres. Other topics include stratifications, and applications to differential geometry.