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| Author | : Alexandru Dimca |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 277 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461244048 |
| Author | : John Milnor |
| Publisher | : Princeton University Press |
| Total Pages | : 130 |
| Release | : 2016-03-02 |
| Genre | : Mathematics |
| ISBN | : 1400881811 |
The description for this book, Singular Points of Complex Hypersurfaces. (AM-61), Volume 61, will be forthcoming.
| Author | : David Massey |
| Publisher | : |
| Total Pages | : 148 |
| Release | : 2014-09-01 |
| Genre | : |
| ISBN | : 9783662198391 |
| Author | : David Massey |
| Publisher | : Springer |
| Total Pages | : 141 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540455213 |
This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the Lê cycles of the hypersurface. The Lê cycles and their multiplicities - the Lê numbers - provide effectively calculable data which generalizes the Milnor number of an isolated singularity to the case of singularities of arbitrary dimension. The Lê numbers control many topological and geometric properties of such non-isolated hypersurface singularities. This book is intended for graduate students and researchers interested in complex analytic singularities.
| Author | : Javier Fernández de Bobadilla |
| Publisher | : Birkhäuser |
| Total Pages | : 332 |
| Release | : 2021-05-28 |
| Genre | : Mathematics |
| ISBN | : 9783030619572 |
The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory. The papers, written by leading researchers working on various topics of the above fields, are the outcome of the “Némethi60: Geometry and Topology of Singularities” conference held at the Alfréd Rényi Institute of Mathematics in Budapest, from May 27 to 31, 2019. Both the conference and this resulting volume are in honor of Professor András Némethi, on the occasion of his 60th birthday, whose work plays a decisive and influential role in the interactions between the above fields. The book should serve as a valuable resource for graduate students and researchers to deepen the new perspectives, methods, and connections between geometry and topology regarding singularities.
| Author | : John Lewis Miller |
| Publisher | : |
| Total Pages | : 90 |
| Release | : 1974 |
| Genre | : |
| ISBN | : |
| Author | : José Luis Cisneros-Molina |
| Publisher | : Springer Nature |
| Total Pages | : 581 |
| Release | : 2021-11-01 |
| Genre | : Mathematics |
| ISBN | : 3030780244 |
This is the second volume of the Handbook of the Geometry and Topology of Singularities, a series which 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 ten chapters which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory and related topics. Singularities are ubiquitous in mathematics and science in general. Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject, and in other subjects. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.
| Author | : David Mond |
| Publisher | : CRC Press |
| Total Pages | : 348 |
| Release | : 2019-07-17 |
| Genre | : Mathematics |
| ISBN | : 9780203912089 |
This text offers a selection of papers on singularity theory presented at the Sixth Workshop on Real and Complex Singularities held at ICMC-USP, Brazil. It should help students and specialists to understand results that illustrate the connections between singularity theory and related fields. The authors discuss irreducible plane curve singularities, openness and multitransversality, the distribution Afs and the real asymptotic spectrum, deformations of boundary singularities and non-crystallographic coxeter groups, transversal Whitney topology and singularities of Haefliger foliations, the topology of hypersurface singularities, polar multiplicities and equisingularity of map germs from C3 to C4, and topological invariants of stable maps from a surface to the plane from a global viewpoint.
| Author | : Javier Fernández de Bobadilla |
| Publisher | : Springer Nature |
| Total Pages | : 332 |
| Release | : 2021-05-27 |
| Genre | : Mathematics |
| ISBN | : 3030619583 |
The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory. The papers, written by leading researchers working on various topics of the above fields, are the outcome of the “Némethi60: Geometry and Topology of Singularities” conference held at the Alfréd Rényi Institute of Mathematics in Budapest, from May 27 to 31, 2019. Both the conference and this resulting volume are in honor of Professor András Némethi, on the occasion of his 60th birthday, whose work plays a decisive and influential role in the interactions between the above fields. The book should serve as a valuable resource for graduate students and researchers to deepen the new perspectives, methods, and connections between geometry and topology regarding singularities.
| 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.
