Details

Handbook of  Geometry and Topology of Singularities I


Handbook of Geometry and Topology of Singularities I



von: José Luis Cisneros Molina, D*ng Tráng Lê, José Seade

139,09 €

Verlag: Springer
Format: PDF
Veröffentl.: 24.10.2020
ISBN/EAN: 9783030530617
Sprache: englisch

Dieses eBook enthält ein Wasserzeichen.

Beschreibungen

<p>This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory. 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.</p>

<p>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.</p>

<p>This is the first volume in 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. </p>

The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.<br>
Foreword.- Preface.- 1 The Combinatorics of Plane Curve Singularities.- 2 The Topology of Surface Singularities.- 3 Resolution of Singularities: an Introduction.- 4 Stratification Theory.- 5 Morse Theory, Stratification and Sheaves.- 6 The Topology of the Milnor Fibration.- 7 Deformation and Smoothing of Singularities.- 8 Distinguished Bases and Monodromy of Complex Hypersurface Singularities.- 9 The Lefschetz Theorem for Hyperplane Sections.- 10 Finite Dimensional Lie Algebras in Singularities. -Index.
<p>José Luis Cisneros-Molina (PhD, University of Warwick 1999) is a full-time researcher at the Mathematics Institute of the National Autonomous University of Mexico. His research interests are in Algebraic and Differential Topology, Differential Geometry and Singularity Theory, with a particular focus on generalizations of Milnor Fibrations for complex and real analytic maps.</p>

<p>Dũng Tráng Lê (PhD, University of Paris 1969) is an Emeritus Professor at Aix-Marseille University. Previously he was Professor at the Universities of Paris VII (1975—1999)&nbsp; and Marseille, and was head of Mathematics at the ICTP at Trieste. One of the founders of modern Singularity Theory, he has made numerous contributions to morsification, the topology of complex singularities, polar varieties, carousels, among other topics.</p>

<p>José Seade (DPhil, University of Oxford 1980)&nbsp;is a full-time researcher at the Mathematics Institute of the National Autonomous University of Mexico. His research is in the theory of indices of vector fields and Chern classes for singular varieties, with applications to foliations, and Milnor’s fibration theorem for analytic maps. In 2007 he was awarded the Ferran Sunyer i Ballaguer prize.</p>
<p>This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory. 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.</p><p>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.</p><p>This is the first volume in 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.</p>The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.
<p>Presents in-depth and accessible surveys of topics in singularity theory, including their interrelationships and connections with other subjects</p><p>Ideal for graduate students and researchers in general who want to learn about this active field, and as a reference for specialists</p><p>Emphasizes clarity and quality of exposition rather than technical details</p><p>Encourages readers to go deeper into the subject by offering illuminating insights and useful bibliographies</p>

Diese Produkte könnten Sie auch interessieren:

Collected Papers
Collected Papers
von: Bertram Kostant, Anthony Joseph, Shrawan Kumar, Michèle Vergne
PDF ebook
223,63 €
Emerging Applications of Algebraic Geometry
Emerging Applications of Algebraic Geometry
von: Mihai Putinar, Seth Sullivant
PDF ebook
96,29 €
The q-theory of Finite Semigroups
The q-theory of Finite Semigroups
von: John Rhodes, Benjamin Steinberg
PDF ebook
96,29 €