Maximal rank of space curves in the range A
Algebraic Geometry
2018-02-21 v2
Abstract
We prove the following statement, which has been conjectured since 1985: There exists a constant such that for all natural numbers with there exists an irreducible component of the Hilbert scheme of whose general element is a smooth, connected curve of degree and genus of maximal rank.
Cite
@article{arxiv.1705.10113,
title = {Maximal rank of space curves in the range A},
author = {Edoardo Ballico and Philippe Ellia and Claudio Fontanari},
journal= {arXiv preprint arXiv:1705.10113},
year = {2018}
}