On the Topology of Isolated Singularities in Analytic Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook On the Topology of Isolated Singularities in Analytic Spaces write by José Seade. This book was released on 2006-03-21. On the Topology of Isolated Singularities in Analytic Spaces available in PDF, EPUB and Kindle. Offers an overview of selected topics on the topology of singularities, with emphasis on its relations to other branches of geometry and topology. This book studies real analytic singularities which arise from the topological and geometric study of holomorphic vector fields and foliations.
Introduction to Singularities
Introduction to Singularities - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Singularities write by Shihoko Ishii. This book was released on 2018-09-21. Introduction to Singularities available in PDF, EPUB and Kindle. This book is an introduction to singularities for graduate students and researchers. Algebraic geometry is said to have originated in the seventeenth century with the famous work Discours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences by Descartes. In that book he introduced coordinates to the study of geometry. After its publication, research on algebraic varieties developed steadily. Many beautiful results emerged in mathematicians’ works. First, mostly non-singular varieties were studied. In the past three decades, however, it has become clear that singularities are necessary for us to have a good description of the framework of varieties. For example, it is impossible to formulate minimal model theory for higher-dimensional cases without singularities. A remarkable fact is that the study of singularities is developing and people are beginning to see that singularities are interesting and can be handled by human beings. This book is a handy introduction to singularities for anyone interested in singularities. The focus is on an isolated singularity in an algebraic variety. After preparation of varieties, sheaves, and homological algebra, some known results about 2-dimensional isolated singularities are introduced. Then a classification of higher-dimensional isolated singularities is shown according to plurigenera and the behavior of singularities under a deformation is studied. In the second edition, brief descriptions about recent remarkable developments of the researches are added as the last chapter.
Handbook of Geometry and Topology of Singularities II
Handbook of Geometry and Topology of Singularities II - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Geometry and Topology of Singularities II write by José Luis Cisneros-Molina. This book was released on 2021-11-01. Handbook of Geometry and Topology of Singularities II available in PDF, EPUB and Kindle. 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.
Handbook of Geometry and Topology of Singularities IV
Handbook of Geometry and Topology of Singularities IV - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Geometry and Topology of Singularities IV write by José Luis Cisneros-Molina. This book was released on 2023-11-10. Handbook of Geometry and Topology of Singularities IV available in PDF, EPUB and Kindle. 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.
D-Modules, Perverse Sheaves, and Representation Theory
D-Modules, Perverse Sheaves, and Representation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook D-Modules, Perverse Sheaves, and Representation Theory write by Kiyoshi Takeuchi. This book was released on 2007-10-12. D-Modules, Perverse Sheaves, and Representation Theory available in PDF, EPUB and Kindle. D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, representation theory.
