%0 Journal Article %J J. Geom. Phys. 37 (2001), no. 1-2, 169-181 %D 2001 %T A note on the super Krichever map %A Gregorio Falqui %A Cesare Reina %A Alessandro Zampa %X We consider the geometrical aspects of the Krichever map in the context of Jacobian Super KP hierarchy. We use the representation of the hierarchy based\\non the Fa`a di Bruno recursion relations, considered as the cocycle condition for the natural double complex associated with the deformations of super Krichever data. Our approach is based on the construction of the universal super divisor (of degree g), and a local universal family of geometric data which give the map into the Super Grassmannian. %B J. Geom. Phys. 37 (2001), no. 1-2, 169-181 %I SISSA Library %G en %U http://hdl.handle.net/1963/1494 %1 2669 %2 Mathematics %3 Mathematical Physics %$ Made available in DSpace on 2004-09-01T13:03:11Z (GMT). No. of bitstreams: 1\\nnlin.SI0005062.pdf: 195729 bytes, checksum: daafbab4268655b8f1445ff39762b659 (MD5)\\n Previous issue date: 2000 %R 10.1016/S0393-0440(00)00037-1 %0 Journal Article %D 1999 %T A note on fractional KDV hierarchies. II. The bihamiltonian approach %A Paolo Casati %A Gregorio Falqui %A Marco Pedroni %I SISSA Library %G en %U http://hdl.handle.net/1963/1220 %1 2723 %2 Mathematics %3 Mathematical Physics %$ Made available in DSpace on 2004-09-01T12:54:55Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1999 %0 Journal Article %J J. Math. Phys. 31 (1990), no.4, 948-952 %D 1990 %T N=2 super Riemann surfaces and algebraic geometry %A Cesare Reina %A Gregorio Falqui %X 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. %B J. Math. Phys. 31 (1990), no.4, 948-952 %I American Institute of Physics %G en %U http://hdl.handle.net/1963/807 %1 2984 %2 Mathematics %3 Mathematical Physics %$ Made available in DSpace on 2004-09-01T12:38:12Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1989 %R 10.1063/1.528775 %0 Journal Article %J Comm.Math.Phys. 31 (1990), no.4, 948 %D 1990 %T A note on the global structure of supermoduli spaces %A Cesare Reina %A Gregorio Falqui %B Comm.Math.Phys. 31 (1990), no.4, 948 %I SISSA Library %G en %U http://hdl.handle.net/1963/806 %1 2985 %2 Mathematics %3 Mathematical Physics %$ Made available in DSpace on 2004-09-01T12:38:11Z (GMT). No. of bitstreams: 1\\n46_89.pdf: 522357 bytes, checksum: 18f63d98e1ce1e711e039894ded5ae7c (MD5)\\n Previous issue date: 1989