IJPAM: Volume 55, No. 2 (2009)

ON THE POSTULATION OF GENERAL PROJECTIVE
CURVES: THE MAXIMAL RANK CONJECTURE
FOR CURVES IN $\mathbb {P}^5$

E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it


Abstract.Fix integers $g, d$ such that $g \ge 0$ and $6d \ge 5d+30$. Let $C\subset \mathbb {P}^5$ be a general degree $d$ embedding of a general curve of genus $g$. Here we prove that $C$ has maximal rank, i.e. the maximal rank conjecture for curves in $\mathbb {P}^5$ is true.

Received: July 27, 2009

AMS Subject Classification: 14H50

Key Words and Phrases: maximal rank, curves with general moduli, postulation, $\mathbb {P}^5$

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 55
Issue: 2