The Maximal Rank Conjecture

Abstract

Let C be a general curve of genus g, embedded in P^r via a general linear series of degree d. In this paper, we prove the Maximal Rank Conjecture, which determines the Hilbert function of C.

References in corpus (3)

• Interpolation for Restricted Tangent Bundles of General Curves
• The Generality of a Section of a Curve
• Degenerations of Curves in Projective Space and the Maximal Rank Conjecture

Cited by in corpus (8)

• The Kodaira dimensions of ${\overline{\mathcal{M}}}_{22}$ and ${\overline{\mathcal{M}}}_{23}$
• The Generality of a Section of a Curve
• Limit linear series and ranks of multiplication maps
• The Strong Maximal Rank Conjecture and higher rank Brill--Noether theory
• On the strong maximal rank conjecture in genus 22 and 23
• Recent Developments in Brill-Noether Theory
• Unirational moduli spaces of some elliptic K3 surfaces
• Initial ideals of weighted forms and the genus of locally Cohen-Macaulay curves