The C-(symmetric) quadrilateral lattice, its transformations and the algebro-geometric construction
Exactly Solvable and Integrable Systems
2010-04-19 v1
Abstract
The C-quadrilateral lattice (CQL), called also the symmetric lattice, provides geometric interpretation of the discrete CKP equation within the quadrilateral lattice (QL) theory. We discuss affine-geometric properties of the lattice emphasizing the role of the Gallucci theorem in the multidimensional consistency of the CQL. Then we give the algebro-geometric construction of the lattice. We also present the reduction of the vectorial fundamental transformation of the QL to the CQL case. In the Appendix we show a relation between the QL and the so called Darboux maps.
Keywords
Cite
@article{arxiv.0710.5820,
title = {The C-(symmetric) quadrilateral lattice, its transformations and the algebro-geometric construction},
author = {Adam Doliwa},
journal= {arXiv preprint arXiv:0710.5820},
year = {2010}
}
Comments
20 pages, 4 figures