Combinatorics of multisecant Fay identities
Exactly Solvable and Integrable Systems
2020-10-30 v1 Mathematical Physics
math.MP
Abstract
We derive a set of identities for the theta functions on compact Riemann surfaces which generalize the famous trisecant Fay identity. Using these identities we obtain quasiperiodic solutions for a multidimensional generalization of the Hirota bilinear difference equation and for a multidimensional Toda-type system.
Cite
@article{arxiv.2010.15473,
title = {Combinatorics of multisecant Fay identities},
author = {V. E. Vekslerchik},
journal= {arXiv preprint arXiv:2010.15473},
year = {2020}
}