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The Singularities

2023-07-21 Fiction
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Release : 2023-07-21
Genre : Fiction
Kind : eBook
Book Rating : 373/5 ( reviews)

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Book Synopsis The Singularities by : John Banville

Download or read book The Singularities written by John Banville. This book was released on 2023-07-21. Available in PDF, EPUB and Kindle. Book excerpt: '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...

Resolution of Singularities

2004 Mathematics
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Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 556/5 ( reviews)

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Book Synopsis Resolution of Singularities by : Steven Dale Cutkosky

Download or read book Resolution of Singularities written by Steven Dale Cutkosky. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: The notion of singularity is basic to mathematics. In algebraic geometry, the resolution of singularities by simple algebraic mappings is truly a fundamental problem. It has a complete solution in characteristic zero and partial solutions in arbitrary characteristic. The resolution of singularities in characteristic zero is a key result used in many subjects besides algebraic geometry, such as differential equations, dynamical systems, number theory, the theory of $\mathcal{D}$-modules, topology, and mathematical physics. This book is a rigorous, but instructional, look at resolutions. A simplified proof, based on canonical resolutions, is given for characteristic zero. There are several proofs given for resolution of curves and surfaces in characteristic zero and arbitrary characteristic. Besides explaining the tools needed for understanding resolutions, Cutkosky explains the history and ideas, providing valuable 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 an exciting 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.

Introduction to Singularities and Deformations

2007-02-23 Mathematics
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Release : 2007-02-23
Genre : Mathematics
Kind : eBook
Book Rating : 192/5 ( reviews)

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Book Synopsis Introduction to Singularities and Deformations by : Gert-Martin Greuel

Download or read book Introduction to Singularities and Deformations written by Gert-Martin Greuel. This book was released on 2007-02-23. Available in PDF, EPUB and Kindle. Book excerpt: 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

2005-10-24 Mathematics
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Release : 2005-10-24
Genre : Mathematics
Kind : eBook
Book Rating : 955/5 ( reviews)

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Book Synopsis Singularities by : Christian de Duve

Download or read book Singularities written by Christian de Duve. This book was released on 2005-10-24. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Introduction to Singularities

2018-09-21 Mathematics
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Release : 2018-09-21
Genre : Mathematics
Kind : eBook
Book Rating : 379/5 ( reviews)

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Book Synopsis Introduction to Singularities by : Shihoko Ishii

Download or read book Introduction to Singularities written by Shihoko Ishii. This book was released on 2018-09-21. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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