Aborde les points principaux de la théorie de la singularité des courbes, qui concerne entre autres les courbes dans l'espace. ©Electre 2025
Curve singularities
An Algebraic and Geometric approach
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.
Paru le : 05/09/2005
Thématique : Mathématiques 1er Cycle
Auteur(s) : Auteur : Antonio Campillo Auteur : Julio Castellanos
Éditeur(s) :
Hermann
Collection(s) : Actualités mathématiques
Série(s) : Non précisé.
ISBN : Non précisé.
EAN13 : 9782705665425
Reliure : Broché
Pages : VII-136
Hauteur: 24.0 cm / Largeur 17.0 cm
Épaisseur: 0.8 cm
Poids: 268 g
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