According to [LO], the Prym variety of any non-cyclic étale triple cover f : Y → X of a smooth curve X of genus 2 is a Jacobian variety of dimension 2. This gives a map from the moduli space of such covers to the moduli space of Jacobian varieties of dimension 2. We extend this map to a proper map Pr of a moduli space S3M̃2 of admissible S3-covers of genus 7 to the moduli space A2 of principally...

The moduli space approximation to kink dynamics permits a relativistic generalization if the Derrick scaling parameter is used as collective coordinate. We develop perturbative approach resulting by expanding about unity and treating higher-order modes new degrees of freedom. This allows us resolve (coordinate) singularities order-by-order, systematically incorporates corrections {\it perturbat...

Abstract We study the moduli space of J -holomorphic subvarieties in a 4-dimensional symplectic manifold. For an arbitrary tamed almost complex structure, we show that sphere class is formed by family linear system structures as algebraic geometry. Among applications, various uniqueness results subvarieties, e.g. for fiber and exceptional classes irrational ruled surfaces. On other hand, non-un...