An effective bound for the gonality conjecture
Algebraic Geometry
2016-04-21 v1
Abstract
Ein and Lazarsfeld have shown that one can read off the gonality of an algebraic curve from its syzygies in the embedding defined by any one line bundle of sufficiently large degree. This note extends their approach and shows that the gonality can be detected from the syzygies of an embedding by any line bundle of degree at least 4g-3.
Keywords
Cite
@article{arxiv.1604.06072,
title = {An effective bound for the gonality conjecture},
author = {Juergen Rathmann},
journal= {arXiv preprint arXiv:1604.06072},
year = {2016}
}
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11 pages