Algebro-geometric solution of the discrete KP equation over a finite field out of a hyperelliptic curve

Details Algebro-geometric solution of the discrete KP equation over a finite field out of a hyperelliptic curve Algebro-geometric solution of the discrete KP equation over a finite field out of a hyperelliptic curve

2003-09-29

arxiv.org/abs/nlin/0309071v2

Commun. Math. Phys. 253, 157-170 (2005)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

14 pages; some typos corrected

Scientific paper

10.1007/s00220-004-1207-3

We transfer the algebro-geometric method of construction of solutions of the
discrete KP equation to the finite field case. We emphasize role of the
Jacobian of the underlying algebraic curve in construction of the solutions. We
illustrate in detail the procedure on example of a hyperelliptic curve.

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