On The Singularities Of Plane Curves

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Singularities Of Plane Curves

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Author : Eduardo Casas-Alvero
language : en
Publisher: Cambridge University Press
Release Date : 2000-08-31

Singularities Of Plane Curves written by Eduardo Casas-Alvero 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 2000-08-31 with Mathematics categories.

Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.

Singularities Of Plane Curves

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Author : Eduardo Casas-Alvero
language : en
Publisher:
Release Date : 2014-05-14

Singularities Of Plane Curves written by Eduardo Casas-Alvero and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.

Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.

Singular Points Of Plane Curves

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Author : C. T. C. Wall
language : en
Publisher: Cambridge University Press
Release Date : 2004-11-15

Singular Points Of Plane Curves written by C. T. C. Wall 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 2004-11-15 with Mathematics categories.

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Three Dimensional Link Theory And Invariants Of Plane Curve Singularities

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Author : David Eisenbud
language : en
Publisher: Princeton University Press
Release Date : 1985

Three Dimensional Link Theory And Invariants Of Plane Curve Singularities written by David Eisenbud and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.

This book gives a new foundation for the theory of links in 3-space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3-manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants of links are additive under splicing. Specially distinguished from this viewpoint is the class of links, none of whose splice components is hyperbolic. It includes all links constructed by cabling and connected sums, in particular all links of singularities of complex plane curves. One of the main contributions of this monograph is the calculation of invariants of these classes of links, such as the Alexander polynomials, monodromy, and Seifert forms.

On The Singularities Of Plane Curves

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Author : T. Bisztriczky
language : en
Publisher:
Release Date : 1982

On The Singularities Of Plane Curves written by T. Bisztriczky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.

Three Dimensional Link Theory And Invariants Of Plane Curve Singularities Am 110 Volume 110

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Author : David Eisenbud
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02

Three Dimensional Link Theory And Invariants Of Plane Curve Singularities Am 110 Volume 110 written by David Eisenbud and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.

This book gives a new foundation for the theory of links in 3-space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3-manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants of links are additive under splicing. Specially distinguished from this viewpoint is the class of links, none of whose splice components is hyperbolic. It includes all links constructed by cabling and connected sums, in particular all links of singularities of complex plane curves. One of the main contributions of this monograph is the calculation of invariants of these classes of links, such as the Alexander polynomials, monodromy, and Seifert forms.

Resolution Of Curve And Surface Singularities In Characteristic Zero

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Author : K. Kiyek
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-11

Resolution Of Curve And Surface Singularities In Characteristic Zero written by K. Kiyek 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 2012-09-11 with Mathematics categories.

The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's 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}.

Singular Points Of Plane Curves

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Author :
language : en
Publisher:
Release Date : 2004

Singular Points Of Plane Curves written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Curves, Plane categories.

The study of singularities uses techniques from algebra, algebraic geometry, complex analysis and topology. This book introduces graduate students to this attractive area of mathematics. It is based on a MSc course taught by the author and also is an original synthesis, with new views and results not found elsewhere.

Efficient Resolution Of Singularities Of Plane Curves

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Author : Dexter Kozen
language : en
Publisher:
Release Date : 1994

Efficient Resolution Of Singularities Of Plane Curves written by Dexter Kozen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.

On The Singularities Of Almost Simple Plane Curves

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Author : Tibor Bistriczky
language : en
Publisher:
Release Date : 1981

On The Singularities Of Almost Simple Plane Curves written by Tibor Bistriczky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Geometry, Differential categories.