Curve Singularities

An Algebraic and Geometric Approach

Antonio Campillo, Julio Castellanos - Collection Actualités mathématiques

140 pages, parution le 06/09/2005

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Résumé

This book presents a treatment of curve singularities, a subject of renewed actuality. Curve singularities become a fundamental tool in recent developments as arc spaces, resolution of singularities, base point of linear systems, valuation theory or coding theory.

Rational branches, parameterizations, Hamburger-Noether matrices, resolution of singularities, Arf closure and saturation are specially developed on an algebraic basis. On the other hand, exceptional divisors and combinatorial configurations obtained by blowing ups, proximity relations, infinitely near points and linear systems obtained from them are also developed on a geometric basis. Ground fields are arbitrary perfect fields. All together gives an algebraic geometric insight of singular points of curves, which can have any embedding dimension.

The book is addressed to researchers as well as to postgraduate students interested on the topic or related areas.

L'auteur - Antonio Campillo

Antonio Campillo Dto., geometrica y topologia, Facultad de Ciencias, Universidad de Valladolid

L'auteur - Julio Castellanos

Julio Castellanos Dto. algebra, Facultad de Mathematicas, Universidad de Complutense (Madrid)

Sommaire

Branches and parmetrizations
Invariants from the local ring
Infinitely near points and N-H matrices
Geometric theory of infinitely near points
Divisorial theory of infinitely near points

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Hermann
Auteur(s)	Antonio Campillo, Julio Castellanos
Collection	Actualités mathématiques
Parution	06/09/2005
Nb. de pages	140
Format	17 x 24
Couverture	Broché
Poids	260g
Intérieur	Noir et Blanc
EAN13	9782705665425
ISBN13	978-2-7056-6542-5