IJPAM: Volume 46, No. 4 (2008)

UNSTABLE RULED SURFACES WITH LARGE DEGREE

E. Ballico
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it


Abstract.Here we describe the irreducible families of the set of all degree $d \ge 4g-3$ abstract ruled surfaces $S \subset {\bf {P}}^{v-1}$ with a prescribed genus $g \ge 2$ curve as the normalization of a general hyperplane section.

Received: July 20, 2008

AMS Subject Classification: 14H60, 14J26, 14N05

Key Words and Phrases: scroll, surface scroll, rank two vector bundle, ruled surface

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 46
Issue: 4