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Differential equations, difference equations and algebraic relations: An extension to a theorem of Compoint
Differential equations difference equations algebraic relations
2010/12/6
Let C be an algebraically closed field and X a projective curve over C. Consider an ordinary linear differential equation, or a linear differ-ence equation, with coefficients in the field of rational ...
Separation of variables and explicit theta-function solution of the classical Steklov--Lyapunov systems: A geometric and algebraic geometric background
Separation of variables explicit theta-function solution
2010/4/6
The paper revises the explicit integration of the classical Steklov--Lyapunov systems via separation of variables, which was first made by F. K\"otter in 1900, but was not well understood until recent...