An abelian surface with (1,6)-polarisation
Algebraic Geometry
2013-10-08 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We use the method of Adler-van Moerbeke and Vanhaecke to show that the general fibre of the hamiltonian system of Dorizzi, Grammaticos and Ramani completes to a (1, 6)-polarised abelian surface.
Cite
@article{arxiv.1211.6200,
title = {An abelian surface with (1,6)-polarisation},
author = {Michael Semmel and Duco van Straten},
journal= {arXiv preprint arXiv:1211.6200},
year = {2013}
}
Comments
This is the second version of tis paper. We removed some typos and corrected a formula and a statement in the appendix. A section about a one-parameter deformation of the given integrable system has been added