[HTML][HTML] The B-quadrilateral lattice, its transformations and the algebro-geometric construction
A Doliwa - Journal of Geometry and Physics, 2007 - Elsevier
Journal of Geometry and Physics, 2007•Elsevier
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.
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.
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.
Elsevier
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