IJPAM: Volume 53, No. 3 (2009)

ON THE MAXIMAL RANK CONJECTURE IN $\mathbb {P}^4$

E. Ballico
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: [email protected]


Abstract.Here (following old joint work with Ph. Ellia and using an inductive method due to A. Hirschowitz) we prove that a general embedding in $\mathbb {P}^4$ of a curve with general moduli has maximal rank, i.e. it has good postulation.

Received: May 2, 2009

AMS Subject Classification: 14H50

Key Words and Phrases: postulation, curve in $\mathbb {P}^4$, maximal rank

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 53
Issue: 3