The Singularities

The Singularities PDF Author: John Banville
Publisher: Swift Press
ISBN: 1800753373
Category : Fiction
Languages : en
Pages : 331

Get Book Here

Book Description
'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...

The Singularities

The Singularities PDF Author: John Banville
Publisher: Swift Press
ISBN: 1800753373
Category : Fiction
Languages : en
Pages : 331

Get Book Here

Book Description
'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...

Singularities

Singularities PDF Author: Christian de Duve
Publisher: Cambridge University Press
ISBN: 9780521841955
Category : Mathematics
Languages : en
Pages : 288

Get Book Here

Book Description
Publisher Description

Resolution of Singularities

Resolution of Singularities PDF Author: Steven Dale Cutkosky
Publisher: American Mathematical Soc.
ISBN: 0821835556
Category : Mathematics
Languages : en
Pages : 198

Get Book Here

Book Description
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

Introduction to Singularities PDF Author: Shihoko Ishii
Publisher: Springer
ISBN: 443155081X
Category : Mathematics
Languages : en
Pages : 227

Get Book Here

Book Description
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.

Singularities of the Minimal Model Program

Singularities of the Minimal Model Program PDF Author: János Kollár
Publisher: Cambridge University Press
ISBN: 1107035341
Category : Mathematics
Languages : en
Pages : 381

Get Book Here

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

Singularities of Differentiable Maps

Singularities of Differentiable Maps PDF Author: V.I. Arnold
Publisher: Springer Science & Business Media
ISBN: 1461251540
Category : Mathematics
Languages : en
Pages : 390

Get Book Here

Book Description
... there is nothing so enthralling, so grandiose, nothing that stuns or captivates the human soul quite so much as a first course in a science. After the first five or six lectures one already holds the brightest hopes, already sees oneself as a seeker after truth. I too have wholeheartedly pursued science passionately, as one would a beloved woman. I was a slave, and sought no other sun in my life. Day and night I crammed myself, bending my back, ruining myself over my books; I wept when I beheld others exploiting science fot personal gain. But I was not long enthralled. The truth is every science has a beginning, but never an end - they go on for ever like periodic fractions. Zoology, for example, has discovered thirty-five thousand forms of life ... A. P. Chekhov. "On the road" In this book a start is made to the "zoology" of the singularities of differentiable maps. This theory is a young branch of analysis which currently occupies a central place in mathematics; it is the crossroads of paths leading from very abstract corners of mathematics (such as algebraic and differential geometry and topology, Lie groups and algebras, complex manifolds, commutative algebra and the like) to the most applied areas (such as differential equations and dynamical systems, optimal control, the theory of bifurcations and catastrophes, short-wave and saddle-point asymptotics and geometrical and wave optics).

Singularities

Singularities PDF Author: Andre Lepecki
Publisher: Routledge
ISBN: 1317441109
Category : Art
Languages : en
Pages : 204

Get Book Here

Book Description
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.

Introduction to Singularities and Deformations

Introduction to Singularities and Deformations PDF Author: Gert-Martin Greuel
Publisher: Springer Science & Business Media
ISBN: 3540284192
Category : Mathematics
Languages : en
Pages : 482

Get Book Here

Book Description
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.

Ancient Light

Ancient Light PDF Author: John Banville
Publisher: Vintage
ISBN: 0307960838
Category : Fiction
Languages : en
Pages : 305

Get Book Here

Book Description
The Man Booker Prize-winning author of The Sea gives us a brilliant novel about an actor in the twilight of his life and his career: “a devastating account of a boy’s sexual awakening and the loss of his childhood…. Seamless [and] profound ... An unsettling and beautiful work.” —Wall Street Journal Is there a difference between memory and invention? That is the question that haunts Alexander Cleave as he reflects on his first, and perhaps only, love—an underage affair with his best friend’s mother. When his stunted acting career is suddenly, inexplicably revived with a movie role playing a man who may not be who he claims, his young leading lady—famous and fragile—unwittingly gives him the opportunity to see, with startling clarity, the gap between the things he has done and the way he recalls them. Profoundly moving, Ancient Light is written with the depth of character, clarifying lyricism, and heart-wrenching humor that mark all of Man Booker Prize-winning author John Banville’s extraordinary works.

Curves and Singularities

Curves and Singularities PDF Author: James William Bruce
Publisher: Cambridge University Press
ISBN: 9780521429993
Category : Mathematics
Languages : en
Pages : 344

Get Book Here

Book Description
This second edition is an invaluable textbook for anyone who would like an introduction to the modern theories of catastrophies and singularities.