| Description |
1 online resource (xi, 902 pages) : illustrations |
| Physical Medium |
polychrome |
| Description |
text file |
| Bibliography |
Includes bibliographical references. |
| Summary |
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. |
| Contents |
Part I Elementary School on Singularity Theory. Introduction to Basic Toric Geometry / G. Barthel, L. Kaup and K.-H. Fieseler -- Poincare-Hopf Theorems on Singular Varieties / J.-P. Brasselet -- Notes on Real and Complex Analytic and Semianalytic Singularities / D.B. Massey and D.T. Le -- On Milnor's Fibration Theorem for Real and Complex Singularities / J. Seade -- Introduction to Complex Analytic Geometry / T. Suwa -- Part I1 Advanced School on Singularity Theory. Metric Theory of Singularities. Lipschitz Geometry of Singular Spaces / L . Birbrair -- Lectures on Monodromy / W. Ebeling and S.M. Gusein-Zade -- Computational Aspects of Singularities / A. Friihbis-Kriiger -- Lagrangian and Legendrian Varieties and Stability of Their Projections / V.V. Goryunov and V.M. Zakalyukin -- A Resolution of Singularities of a Toric Variety and a Non-degenerate Hypersurface / S. Ishii -- Problems in Topology of the Complements to Plane Singular Curves / V.V. Goryunov and V.M. Zakalyukin / A. Libgober -- Topology of Degeneration of Riemann Surfaces / Y. Matsumoto -- Graded Roots and Singularities / A. Ndmethi -- Chern Classes and Thom Polynomials / T. Ohmoto -- McKay Correspondence for Quotient Surface Singularities / 0. Riemenschneider -- Lectures on the Topology of Polynomial Functions and Singularities at Infinity / D. Siersma and M. Tibar -- Hodge Theory : The Search for Purity / C.A.M. Peters and J.H.M. Steenbrink -- Part III Workshop on Singularities in Geometry and Topology. On Sufficiency of Jets / H. Brodersen -- Singularity Theory Approach to Time Averaged Optimization / A. Davydov and H. Mena-Matos -- Indices of Collections of l-Forms / W. Ebeling and S.M. Gusein-Zade -- A Lefschetz Theorem on the Picard Group of Complex Projective Varieties / H.A. Hamm and D.T. Le -- Braid Monodromy and of Discriminant Complements / M. Lonne -- Tangential Alexander Polynomials and Non-reduced Degeneration / M. Oka -- On Rigidity of Germs of Holomorphic Dicritic Foliations and Formal Normal Forms / E. Rosales- Gonza'lez -- Polar Multiplicities and Euler Obstruction of the Stable Types in Weighted Homogeneous Map Germs from @" to C3, n 2 3 / E.C. Rizziolli and M.J. Saia -- Logarithmic Vector Fields and Multiplication Table / S. Tanabe -- Some Surface Singularities Obtained via Lie Algebras / K. Nakamoto and M. Tosun -- Maxwell Strata and Caustics / M. wan Manen -- Complex Curve Singularities : A Biased Introduction / B. Teissier. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Singularities (Mathematics) -- Congresses.
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Singularities (Mathematics) |
| Genre/Form |
Electronic books.
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Conference papers and proceedings.
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Conference papers and proceedings.
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| Added Author |
Brasselet, Jean-Paul.
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| Other Form: |
Print version: Singularities in geometry and topology. Singapore ; Hackensack, NJ : World Scientific, ©2007 9812700226 9789812700223 (DLC) 2007279599 (OCoLC)124041038 |
| ISBN |
9789812706812 (electronic book) |
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981270681X (electronic book) |
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9812700226 |
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9789812700223 |
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