2004/02/06 by V. Shramchenko
Physics and Astronomy · Mathematics · #math-ph #math.MP
published as Journal of Physics A: Mathematical and General, 36 (42) 2003 10585 - 10605 · 26 pages
arxiv created 2004/02/06 · arxiv updated 2009/12/01
The new integrable systems associated to the space of elliptic branched coverings are constructed. The relationship of these systems with elliptic Schlesinger's system is described. For the standard two-fold elliptic coverings the integrable system is written explicitly. A trigonometric degeneration of the construction is presented.