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Resolution of Curve and Surface Singularities in Characteristic Zero, K. Kiyek; J.L. Vicente


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Автор: K. Kiyek; J.L. Vicente
Название:  Resolution of Curve and Surface Singularities in Characteristic Zero
ISBN: 9789048165735
Издательство: Springer
Классификация: ISBN-10: 9048165733
Обложка/Формат: Paperback
Страницы: 486
Вес: 0.70 кг.
Дата издания: 05.12.2010
Серия: Algebra and Applications
Язык: English
Размер: 234 x 156 x 26
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noethers works on plane curves cf. 148], 149]]. And probably the origin of the problem was to have a formula to compute the genus of a plane curve. The genus is the most useful birational invariant of a curve in classical projective geometry. It was long known that, for a plane curve of degree n having l m ordinary singular points with respective multiplicities ri, i E {1, . . ., m}, the genus p of the curve is given by the formula = (n - l)(n - 2) _ r. (r. _ 1) P 2 2 L. ., . -- . Of course, the problem now arises: how to compute the genus of a plane curve having some non-ordinary singularities. This leads to the natural question: can we birationally transform any (singular) plane curve into another one having only ordinary singularities? The answer is positive. Let us give a flavor (without proofs) 2 on how Noether did it - To solve the problem, it is enough to consider a special kind of Cremona trans- formations, namely quadratic transformations of the projective plane. Let be a linear system of conics with three non-collinear base points r = {Ao, AI, A }, 2 and take a projective frame of the type {Ao, AI, A; U}.


Resolution of Surface Singularities

Автор: Vincent Cossart; U. Orbanz; H. Hironaka; Jean Gira
Название: Resolution of Surface Singularities
ISBN: 3540139044 ISBN-13(EAN): 9783540139041
Издательство: Springer
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Цена: 3492.00 р.
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Resolution of Singularities

Автор: Herwig Hauser; Joseph Lipman; Frans Oort; Adolfo Q
Название: Resolution of Singularities
ISBN: 3764361786 ISBN-13(EAN): 9783764361785
Издательство: Springer
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Цена: 16764.00 р.
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Описание: In September 1997, the Working Week on Resolution of Singularities was held at Obergurgl in the Tyrolean Alps. Its objective was to manifest the state of the art in the field and to formulate major questions for future research. This title presents the four courses given during this week.

Resolution of Singularities of Embedded Algebraic Surfaces

Автор: Shreeram S. Abhyankar
Название: Resolution of Singularities of Embedded Algebraic Surfaces
ISBN: 364208351X ISBN-13(EAN): 9783642083518
Издательство: Springer
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Цена: 19564.00 р.
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Resolution of Singularities

Автор: Herwig Hauser; Joseph Lipman; Frans Oort; Adolfo Q
Название: Resolution of Singularities
ISBN: 303489550X ISBN-13(EAN): 9783034895507
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Based on the courses given at the Working Week in Obergurgl, Austria, September 7-14, 1997

Resolution of Singularities of Embedded Algebraic Surfaces

Автор: Shreeram S. Abhyankar
Название: Resolution of Singularities of Embedded Algebraic Surfaces
ISBN: 3540637192 ISBN-13(EAN): 9783540637196
Издательство: Springer
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Описание: Most points of a variety are simple points. Singularities are special points, or points of multiplicity greater than one. Points of multiplicity two are double points, points of multiplicity three are tripie points, and so on. A nodal point of a curve is a double point where the curve crosses itself, such as the alpha curve.

Deformations of Surface Singularities

Автор: Andras N?methi; Agnes Szil?rd
Название: Deformations of Surface Singularities
ISBN: 3662524694 ISBN-13(EAN): 9783662524695
Издательство: Springer
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Цена: 11878.00 р.
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Описание: The present publication contains a special collection of research and review articles on deformations of surface singularities, that put together serve as an introductory survey of results and methods of the theory, as well as open problems and examples.

Foliated Bundles and Characteristic Classes

Автор: Franz W. Kamber; Philippe Tondeur
Название: Foliated Bundles and Characteristic Classes
ISBN: 3540074201 ISBN-13(EAN): 9783540074205
Издательство: Springer
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Цена: 6288.00 р.
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Characteristic Functions and Models of Nonself-Adjoint Operators

Автор: A. Kuzhel
Название: Characteristic Functions and Models of Nonself-Adjoint Operators
ISBN: 9401065667 ISBN-13(EAN): 9789401065665
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Over the last decades, the study of nonself-adjoint or nonunitary operators has been mainly based on the method of characteristic functions and on methods of model construction or dilatation for corresponding operator classes.

Nilpotent Orbits, Primitive Ideals, and Characteristic Classes

Автор: Walter Borho; J.-L. Brylinski; R. MacPherson
Название: Nilpotent Orbits, Primitive Ideals, and Characteristic Classes
ISBN: 1461289106 ISBN-13(EAN): 9781461289104
Издательство: Springer
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Цена: 13969.00 р.
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Описание: 1. The Subject Matter. Consider a complex semisimple Lie group G with Lie algebra g and Weyl group W. In this book, we present a geometric perspective on the following circle of ideas: polynomials The "vertices" of this graph are some of the most important objects in representation theory. Each has a theory in its own right, and each has had its own independent historical development. - A nilpotent orbit is an orbit of the adjoint action of G on g which contains the zero element of g in its closure. (For the special linear group 2 G = SL(n, C), whose Lie algebra 9 is all n x n matrices with trace zero, an adjoint orbit consists of all matrices with a given Jordan canonical form; such an orbit is nilpotent if the Jordan form has only zeros on the diagonal. In this case, the nilpotent orbits are classified by partitions of n, given by the sizes of the Jordan blocks.) The closures of the nilpotent orbits are singular in general, and understanding their singularities is an important problem. - The classification of irreducible Weyl group representations is quite old.

Deformations of Surface Singularities

Автор: Andras N?methi; Agnes Szil?rd
Название: Deformations of Surface Singularities
ISBN: 3642391303 ISBN-13(EAN): 9783642391309
Издательство: Springer
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Цена: 6986.00 р.
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Описание: The present publication contains a special collection of research and review articles on deformations of surface singularities, that put together serve as an introductory survey of results and methods of the theory, as well as open problems and examples.

A Survey of Characteristic Engine Features for Technology-Sustained Pervasive Games

Автор: Kim J.L. Nevelsteen
Название: A Survey of Characteristic Engine Features for Technology-Sustained Pervasive Games
ISBN: 3319176315 ISBN-13(EAN): 9783319176314
Издательство: Springer
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Описание: This book scrutinizes pervasive games from a technological perspective, focusing on the sub-domain of games that satisfy the criteria that they make use of virtual game elements. In the computer game industry, the use of a game engine to build games is common, but current game engines do not support pervasive games.

Second-order equations with nonnegative characteristic form

Автор: Oleinik, O. A.
Название: Second-order equations with nonnegative characteristic form
ISBN: 1468489674 ISBN-13(EAN): 9781468489675
Издательство: Springer
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Цена: 12157.00 р.
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Описание: Second order equations with nonnegative characteristic form constitute a new branch of the theory of partial differential equations, having arisen within the last 20 years, and having undergone a particularly intensive development in recent years.


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