Article ID Journal Published Year Pages File Type
1895182 Journal of Geometry and Physics 2007 22 Pages PDF
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 emphasizing 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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
,