The B-quadrilateral lattice, its transformations and the algebro-geometric construction
Exactly Solvable and Integrable Systems
2010-04-20 v2 High Energy Physics - Theory
Mathematical Physics
Differential Geometry
math.MP
Abstract
The B-quadrilateral lattice (BQL) provides geometric interpretation of Miwa's discrete BKP equation within the quadrialteral lattice (QL) theory. After discussing the projective-geometric properties of the lattice we give the algebro-geometric construction of the BQL ephasizing the role of Prym varieties and the corresponding theta functions. We also present the reduction of the vectorial fundamental transformation of the QL to the BQL case.
Keywords
Cite
@article{arxiv.nlin/0601057,
title = {The B-quadrilateral lattice, its transformations and the algebro-geometric construction},
author = {Adam Doliwa},
journal= {arXiv preprint arXiv:nlin/0601057},
year = {2010}
}
Comments
23 pages, 3 figures; presentation improved, some typos corrected