Singularities

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Introduction To Singularities

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Author : Shihoko Ishii
language : en
Publisher: Springer
Release Date : 2014-11-19

Introduction To Singularities written by Shihoko Ishii and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-19 with Mathematics categories.

This book is an introduction to singularities for graduate students and researchers. It is said that algebraic geometry 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. Most of them were about non-singular varieties. Singularities were considered “bad” objects that interfered with knowledge of the structure of an algebraic variety. 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. Another example is that the moduli spaces of varieties have natural compactification, the boundaries of which correspond to singular varieties. 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-dim ensional 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.

The Singularities

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Author : John Banville
language : en
Publisher: Swift Press
Release Date : 2023-07-21

The Singularities written by John Banville and has been published by Swift Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-21 with Fiction categories.

'This novel is essence of Banville ... a career summation' Daily Telegraph Felix Mordaunt, recently released from prison, steps from a flashy red sports car onto the estate of his youth. But there is a new family living in the drafty old house: descendants of the late, world-famous scientist Adam Godley. Felix must now vie with the idiosyncratic Godley family, with their harried housekeeper who becomes his landlady, with the recently commissioned biographer of Godley Sr., and with a wealthy and beautiful woman from his past who comes bearing an unusual request...

Introduction To Singularities

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Author : Shihoko Ishii
language : en
Publisher: Springer
Release Date : 2018-09-21

Introduction To Singularities written by Shihoko Ishii and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-21 with Mathematics categories.

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 bookis 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.

Singularity Theory I

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Author : V.I. Arnold
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-03-17

Singularity Theory I written by V.I. Arnold and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-03-17 with Mathematics categories.

This is a compact guide to the principles and main applications of Singularity Theory by one of the world’s top research groups. It includes a number of new results as well as a carefully prepared and extensive bibliography that makes it easy to find the necessary details. It’s ideal for any mathematician or physicist interested in modern mathematical analysis.

Introduction To Singularities And Deformations

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Author : Gert-Martin Greuel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-02-23

Introduction To Singularities And Deformations written by Gert-Martin Greuel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-23 with Mathematics categories.

Singularity theory is a young, rapidly-growing topic with connections to algebraic geometry, complex analysis, commutative algebra, representations theory, Lie groups theory and topology, and many applications in the natural and technical sciences. This book presents the basic singularity theory of analytic spaces, including local deformation theory and the theory of plane curve singularities. It includes complete proofs.

Singularities

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Author : Andre Lepecki
language : en
Publisher: Routledge
Release Date : 2016-06-17

Singularities written by Andre Lepecki and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-17 with Art categories.

How does the production of performance engage with the fundamental issues of our advanced neo-capitalist age? André Lepecki surveys a decade of experimental choreography to uncover the dual meaning of ‘performance’ in the twenty-first century: not just an aesthetic category, but a mode of political power. He demonstrates the enduring ability of performance to critique and subvert this power, examining this relationship through five ‘singularities’ in contemporary dance: thingness, animality, persistence, darkness, and solidity. Exploring the works of Mette Ingvartsen, Yvonne Rainer, Ralph Lemon, Jérôme Bel and others, Lepecki uses his concept of ‘singularity’—the resistance of categorization and aesthetic identification—to examine the function of dance and performance in political and artistic debate.

Singularities And Groups In Bifurcation Theory

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Author : Martin Golubitsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27

Singularities And Groups In Bifurcation Theory written by Martin Golubitsky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Mathematics categories.

This book has been written in a frankly partisian spirit-we believe that singularity theory offers an extremely useful approach to bifurcation prob lems and we hope to convert the reader to this view. In this preface we will discuss what we feel are the strengths of the singularity theory approach. This discussion then Ieads naturally into a discussion of the contents of the book and the prerequisites for reading it. Let us emphasize that our principal contribution in this area has been to apply pre-existing techniques from singularity theory, especially unfolding theory and classification theory, to bifurcation problems. Many ofthe ideas in this part of singularity theory were originally proposed by Rene Thom; the subject was then developed rigorously by John Matherand extended by V. I. Arnold. In applying this material to bifurcation problems, we were greatly encouraged by how weil the mathematical ideas of singularity theory meshed with the questions addressed by bifurcation theory. Concerning our title, Singularities and Groups in Bifurcation Theory, it should be mentioned that the present text is the first volume in a two-volume sequence. In this volume our emphasis is on singularity theory, with group theory playing a subordinate role. In Volume II the emphasis will be more balanced. Having made these remarks, Iet us set the context for the discussion of the strengths of the singularity theory approach to bifurcation. As we use the term, bifurcation theory is the study of equations with multiple solutions.

Resolution Of Singularities

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Author : Steven Dale Cutkosky
language : en
Publisher: American Mathematical Soc.
Release Date :

Resolution Of Singularities written by Steven Dale Cutkosky and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

"Besides explaining the tools needed for understanding resolutions, Cutkosky explains the history and ideas, providing insight and intuition for the novice (or expert). There are many examples and exercises throughout the text." "The book is suitable for a second course on a topic in algebraic geometry. A core course on resolutions is contained in Chapters 2 through 6. Additional topics are covered in the final chapters. The prerequisite is a course covering the basic notions of schemes and sheaves."--BOOK JACKET.

Singularities Of The Minimal Model Program

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Author : János Kollár
language : en
Publisher: Cambridge University Press
Release Date : 2013-02-21

Singularities Of The Minimal Model Program written by János Kollár and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-21 with Mathematics categories.

An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.

Singularities And Topology Of Hypersurfaces

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Author : Alexandru Dimca
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Singularities And Topology Of Hypersurfaces written by Alexandru Dimca and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.