Supercurves , Their Jacobians , and Super Kp Equations

  • M. J. BERGVELT AND J. M. RABIN
  • Published 1996
We study the geometry and cohomology of algebraic super curves, using a new contour integral for holomorphic differentials. For a class of super curves (" generic SKP curves ") we define a period matrix. We show that the odd part of the period matrix controls the cohomology of the dual curve. The Jacobian of a generic SKP curve is a smooth supermanifold; it… CONTINUE READING