Invariant theory for the elliptic normal quintic, II. The covering map
Number Theory
2013-03-12 v1
Abstract
A genus one curve C of degree 5 is defined by the 4 x 4 Pfaffians of a 5 x 5 alternating matrix of linear forms on P^4. We prove a result characterising the covariants for these models in terms of their restrictions to the family of curves parametrised by the modular curve X(5). We then construct covariants describing the covering map of degree 25 from C to its Jacobian and give a practical algorithm for evaluating them.
Keywords
Cite
@article{arxiv.1303.2550,
title = {Invariant theory for the elliptic normal quintic, II. The covering map},
author = {Tom Fisher},
journal= {arXiv preprint arXiv:1303.2550},
year = {2013}
}
Comments
22 pages