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On an algebro-geometric discretization of KP hierarchy

数学物理 2007-05-23 v1 代数几何 math.MP

摘要

This paper studies a certain completely integrable discretization of the KP hierarchy. This was constructed by Gieseker in \cite{Gie1}, from certain algebro-geometric data. This paper has the dual aim of showing that this construction is generically invertible, and obtaining explicit expressions for the flow equations. A subsequent article will discuss the Hamiltonian structure of this system.

引用

@article{arxiv.math-ph/0102024,
  title  = {On an algebro-geometric discretization of KP hierarchy},
  author = {Ali Ulas Ozgur Kisisel},
  journal= {arXiv preprint arXiv:math-ph/0102024},
  year   = {2007}
}

备注

23 pages. Available also at http://www.math.metu.edu.tr/~akisisel