  Based on integrable Hamiltonian systems related to the derivative Schwarzian
Korteweg-de Vries (SKdV) equation, a novel discrete Lax pair for the lattice
SKdV (lSKdV) equation is given by two copies of a Darboux transformation which
can be used to derive an integrable symplectic correspondence. Resorting to the
discrete version of Liouville-Arnold theorem, finite genus solutions to the
lSKdV equation are calculated through Riemann surface method.
