Syzygies of canonical curves and special linear series
type: Item
instance of: scholarly article
title: Syzygies of canonical curves and special linear series
zbMATH Open document ID: 0578.14002
DOI: 10.1007/BF01458587
published in: Mathematische Annalen
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164137
review text: The syzygies of canonical curves C are related to the existence of special linear series \(g^ r_ d\) on C. For curves C of genus \(g=7\) or \(g=8\) the values of the graded Betti-numbers depend on and determine the existence of a \(g^ 1_ 2, g^ 1_ 3, g^ 2_ 6\) or \(g^ 1_ 4\) on C. This result verifies a conjecture of M. Green for canonical curves of genus \(g\leq 8\) over a field k of \(char(k)=0\).
Mathematics Subject Classification ID: 14C20
Mathematics Subject Classification ID: 14H99
zbMATH DE Number: 3924954
zbMATH Keywords: syzygies of canonical curves
zbMATH Keywords: special linear series
zbMATH Keywords: graded Betti-numbers
author: Frank-Olaf Schreyer
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3924954