Klein surfaces

Abstract

CONTENTS Introduction Chapter I. The category of Klein surfaces § 1. Klein surfaces and real algebraic curves § 2. The moduli space of Riemann surfaces with holes § 3. Uniformization and the moduli space of Klein surfaces Chapter II. Isomorphisms and automorphisms of Klein surfaces § 4. Auto-isometries of Riemann surfaces § 5. Complex isomorphisms between real algebraic curves § 6. Automorphisms of Klein surfaces Chapter III. Meromorphic differential forms on Klein surfaces § 7. Meromorphic functions on Klein surfaces § 8. Spinor bundles on Riemann and Klein surfaces § 9. Holomorphic and meromorphic differentials on Klein surfaces Chapter IV. Abelian varieties associated with Klein surfaces § 10. Jacobians of Klein surfaces § 11. Prymians of Klein surfaces § 12. Klein surfaces and differential equations Chapter V. Riemann and Klein supersurfaces § 13. The moduli space of Riemann supersurfaces § 14. The moduli space of Klein supersurfaces § 15. Morphisms of Riemann and Klein supersurfaces References