A special case of the Garnier system, -polarized abelian surfaces and their moduli
Linearising two-dimensional integrable systems and the construction of action-angle variables.
Integrable systems and moduli spaces of rank two vector bundles on a non-hyperelliptic genus 3 curve
We use the methods that were developed by Adler and van Moerbeke to determine explicit equations for a certain moduli space, that was studied by Narasimhan and Ramanan. Stated briefly it is, for a fixed non-hyperelliptic Riemann surface of genus , the moduli space of semi-stable rank two bundles with trivial determinant on . They showed that it can be realized as a projective variety, more precisely as a quartic hypersurface of , whose singular locus is the Kummer variety of . We first construct...
Pierre van Moerbeke: the first 60 years
Integrable systems and projective images of Kummer surfaces
Page 1