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Vector Fields on Singular Varieties

2009-12-17 Mathematics
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Release : 2009-12-17
Genre : Mathematics
Kind : eBook
Book Rating : 045/5 ( reviews)

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Book Synopsis Vector Fields on Singular Varieties by : Jean-Paul Brasselet

Download or read book Vector Fields on Singular Varieties written by Jean-Paul Brasselet. This book was released on 2009-12-17. Available in PDF, EPUB and Kindle. Book excerpt: Vector fields on manifolds play a major role in mathematics and other sciences. In particular, the Poincaré-Hopf index theorem gives rise to the theory of Chern classes, key manifold-invariants in geometry and topology. It is natural to ask what is the ‘good’ notion of the index of a vector field, and of Chern classes, if the underlying space becomes singular. The question has been explored by several authors resulting in various answers, starting with the pioneering work of M.-H. Schwartz and R. MacPherson. We present these notions in the framework of the obstruction theory and the Chern-Weil theory. The interplay between these two methods is one of the main features of the monograph.

Handbook of Geometry and Topology of Singularities IV

2023-11-10 Mathematics
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Release : 2023-11-10
Genre : Mathematics
Kind : eBook
Book Rating : 257/5 ( reviews)

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Book Synopsis Handbook of Geometry and Topology of Singularities IV by : José Luis Cisneros-Molina

Download or read book Handbook of Geometry and Topology of Singularities IV written by José Luis Cisneros-Molina. This book was released on 2023-11-10. Available in PDF, EPUB and Kindle. Book excerpt: This is the fourth 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 twelve chapters which provide an in-depth and reader-friendly survey of various important aspects of singularity theory. Some of these complement topics previously explored in volumes I to III. Amongst the topics studied in this volume are the Nash blow up, the space of arcs in algebraic varieties, determinantal singularities, Lipschitz geometry, indices of vector fields and 1-forms, motivic characteristic classes, the Hilbert-Samuel multiplicity and comparison theorems that spring from the classical De Rham complex. Singularities are ubiquitous in mathematics and science in general. Singularity theory is a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate 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.

Indices of Vector Fields and Residues of Singular Holomorphic Foliations

1998 Mathematics
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Release : 1998
Genre : Mathematics
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Book Rating : /5 ( reviews)

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Book Synopsis Indices of Vector Fields and Residues of Singular Holomorphic Foliations by : Tatsuo Suwa

Download or read book Indices of Vector Fields and Residues of Singular Holomorphic Foliations written by Tatsuo Suwa. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt:

Singularity Theory: Dedicated To Jean-paul Brasselet On His 60th Birthday - Proceedings Of The 2005 Marseille Singularity School And Conference

2007-02-08 Mathematics
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Release : 2007-02-08
Genre : Mathematics
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Book Rating : 390/5 ( reviews)

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Book Synopsis Singularity Theory: Dedicated To Jean-paul Brasselet On His 60th Birthday - Proceedings Of The 2005 Marseille Singularity School And Conference by : Jean-paul Brasselet

Download or read book Singularity Theory: Dedicated To Jean-paul Brasselet On His 60th Birthday - Proceedings Of The 2005 Marseille Singularity School And Conference written by Jean-paul Brasselet. This book was released on 2007-02-08. Available in PDF, EPUB and Kindle. Book excerpt: The Singularity School and Conference took place in Luminy, Marseille, from January 24th to February 25th 2005. More than 180 mathematicians from over 30 countries converged to discuss recent developments in singularity theory.The volume contains the elementary and advanced courses conducted by singularities specialists during the conference, general lectures on singularity theory, and lectures on applications of the theory to various domains. The subjects range from geometry and topology of singularities, through real and complex singularities, to applications of singularities.

Singularity Theory

2007 Mathematics
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Release : 2007
Genre : Mathematics
Kind : eBook
Book Rating : 492/5 ( reviews)

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Book Synopsis Singularity Theory by : Denis Cheniot

Download or read book Singularity Theory written by Denis Cheniot. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: The Singularity School and Conference took place in Luminy, Marseille, from January 24th to February 25th 2005. More than 180 mathematicians from over 30 countries converged to discuss recent developments in singularity theory. The volume contains the elementary and advanced courses conducted by singularities specialists during the conference, general lectures on singularity theory, and lectures on applications of the theory to various domains. The subjects range from geometry and topology of singularities, through real and complex singularities, to applications of singularities.

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