Local And Global Problems Of Singularity Theory
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Local And Global Problems Of Singularity Theory
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Author :
language : en
Publisher:
Release Date : 1998
Local And Global Problems Of Singularity Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Local And Global Problems Of Singularity Theory
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Author : Evgeniĭ Frolovich Mishchenko
language : en
Publisher:
Release Date : 1998
Local And Global Problems Of Singularity Theory written by Evgeniĭ Frolovich Mishchenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Local And Global Problems Of Singularity Theory
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Author : Evgenii Frolovich Mishchenko
language : en
Publisher:
Release Date : 1998
Local And Global Problems Of Singularity Theory written by Evgenii Frolovich Mishchenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Local And Global Problems Of Singularity Theory
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Author : V. M. Zakalyukin
language : en
Publisher:
Release Date : 1998
Local And Global Problems Of Singularity Theory written by V. M. Zakalyukin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Singularities (Mathematics) categories.
Handbook Of Geometry And Topology Of Singularities Vii
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Author : José Luis Cisneros-Molina
language : en
Publisher: Springer
Release Date : 2024-10-29
Handbook Of Geometry And Topology Of Singularities Vii written by José Luis Cisneros-Molina and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-29 with Mathematics categories.
This is the seventh volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research. This volume consists of fourteen chapters that provide an in-depth and reader-friendly introduction to various important aspects of singularity theory. The volume begins with an outstanding exposition on Jim Damon’s contributions to singularity theory and its applications. Jim passed away in 2022 and he was one of the greatest mathematicians of recent times, having made remarkable contributions to singularity theory and its applications, mostly to medical image computing. The next chapter focuses on the singularities of real functions and their bifurcation sets. Then, we look at the perturbation theory of polynomials and linear operators, complex analytic frontal singularities, the global singularity theory of differentiable maps, and the singularities of holomorphic functions from a global point of view. The volume continues with an overview of new tools in singularity theory that spring from symplectic geometry and Floer-type homology theories. Then, it looks at the derivation of Lie algebras of isolated singularities and the three-dimensional rational isolated complete intersection singularities, as well as recent developments in algebraic K-stability and the stable degeneration conjecture. This volume also contains an interesting survey on V-filtrations, a theory began by Malgrange and Kashiwara that can be used to study nearby and vanishing cycle functors and introduced by Deligne. Then, we present a panoramic view of the Hodge, toric, and motivic methods in the study of Milnor fibers in singularity theory, both from local and global points of view. The Monodromy conjecture is also explained; this is a longstanding open problem in singularity theory that lies at the crossroads of number theory, algebra, analysis, geometry, and topology. This volume closes with recent developments in the study of the algebraic complexity of optimization problems in applied algebraic geometry and algebraic statistics. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.
Singularity Theory And Gravitational Lensing
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Author : Arlie O. Petters
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Singularity Theory And Gravitational Lensing written by Arlie O. Petters 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 2012-12-06 with Science categories.
This monograph is the first to develop a mathematical theory of gravitational lensing. The theory applies to any finite number of deflector planes and highlights the distinctions between single and multiple plane lensing. Introductory material in Parts I and II present historical highlights and the astrophysical aspects of the subject. Part III employs the ideas and results of singularity theory to put gravitational lensing on a rigorous mathematical foundation.
Local Features In Natural Images Via Singularity Theory
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Author : James Damon
language : en
Publisher: Springer
Release Date : 2016-09-30
Local Features In Natural Images Via Singularity Theory written by James Damon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-30 with Mathematics categories.
This monograph considers a basic problem in the computer analysis of natural images, which are images of scenes involving multiple objects that are obtained by a camera lens or a viewer’s eye. The goal is to detect geometric features of objects in the image and to separate regions of the objects with distinct visual properties. When the scene is illuminated by a single principal light source, we further include the visual clues resulting from the interaction of the geometric features of objects, the shade/shadow regions on the objects, and the “apparent contours”. We do so by a mathematical analysis using a repertoire of methods in singularity theory. This is applied for generic light directions of both the “stable configurations” for these interactions, whose features remain unchanged under small viewer movement, and the generic changes which occur under changes of view directions. These may then be used to differentiate between objects and determine their shapes and positions.
Introduction To Lipschitz Geometry Of Singularities
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Author : Walter Neumann
language : en
Publisher: Springer Nature
Release Date : 2021-01-11
Introduction To Lipschitz Geometry Of Singularities written by Walter Neumann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-11 with Mathematics categories.
This book presents a broad overview of the important recent progress which led to the emergence of new ideas in Lipschitz geometry and singularities, and started to build bridges to several major areas of singularity theory. Providing all the necessary background in a series of introductory lectures, it also contains Pham and Teissier's previously unpublished pioneering work on the Lipschitz classification of germs of plane complex algebraic curves. While a real or complex algebraic variety is topologically locally conical, it is in general not metrically conical; there are parts of its link with non-trivial topology which shrink faster than linearly when approaching the special point. The essence of the Lipschitz geometry of singularities is captured by the problem of building classifications of the germs up to local bi-Lipschitz homeomorphism. The Lipschitz geometry of a singular space germ is then its equivalence class in this category. The book is aimed at graduate students and researchers from other fields of geometry who are interested in studying the multiple open questions offered by this new subject.
Singularity Theory
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Author : Bill Bruce
language : en
Publisher: Cambridge University Press
Release Date : 1999-06-03
Singularity Theory written by Bill Bruce and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-03 with Computers categories.
An up-to-date survey of research in singularity theory.
Arc Schemes And Singularities
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Author : David Bourqui
language : en
Publisher: World Scientific
Release Date : 2020-03-05
Arc Schemes And Singularities written by David Bourqui and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-05 with Mathematics categories.
This title introduces the theory of arc schemes in algebraic geometry and singularity theory, with special emphasis on recent developments around the Nash problem for surfaces. The main challenges are to understand the global and local structure of arc schemes, and how they relate to the nature of the singularities on the variety. Since the arc scheme is an infinite dimensional object, new tools need to be developed to give a precise meaning to the notion of a singular point of the arc scheme.Other related topics are also explored, including motivic integration and dual intersection complexes of resolutions of singularities. Written by leading international experts, it offers a broad overview of different applications of arc schemes in algebraic geometry, singularity theory and representation theory.