TY - JOUR T1 - N=2 super Riemann surfaces and algebraic geometry JF - J. Math. Phys. 31 (1990), no.4, 948-952 Y1 - 1990 A1 - Cesare Reina A1 - Gregorio Falqui AB - The geometric framework for N=2 superconformal field theories are described by studying susy2 curves-a nickname for N=2 super Riemann surfaces. It is proved that \\\"single\\\'\\\' susy2 curves are actually split supermanifolds, and their local model is a Serre self-dual locally free sheaf of rank two over a smooth algebraic curve. Superconformal structures on these sheaves are then examined by setting up deformation theory as a first step in studying moduli problems. PB - American Institute of Physics UR - http://hdl.handle.net/1963/807 U1 - 2984 U2 - Mathematics U3 - Mathematical Physics ER -