Articles liés à Families of Curves in Pp3s and Zeuthen's Problem

Families of Curves in Pp3s and Zeuthen's Problem - Couverture souple

Hartshorne, Robin

 
9780821806487: Families of Curves in Pp3s and Zeuthen's Problem
Couverture souple
ISBN 10 : 0821806483 ISBN 13 : 9780821806487
Editeur : American Mathematical Society, 1997

Synopsis

This book provides a negative solution to Zeuthen's problem, which was proposed as a prize problem in 1901 by the Royal Danish Academy of Arts and Sciences. The problem was to decide whether every irreducible family of smooth space curves admits limit curves which are stick figures, composed of lines meeting only two at a time. To solve the problem, the author makes a detailed study of curves on cubic surfaces in ${\mathbb P}^3$ and their possible degenerations as the cubic surface specializes to a quadric plus a plane or the union of three planes.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
1997
Langue
anglais
ISBN 10 
0821806483
ISBN 13 
9780821806487
Reliure
Broché
Nombre de pages
96
Coordonnées du fabricant
non disponible
Personne responsable
non disponible