caa a22 4500 477077048 CHVBK 20180405111441.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF01064170 doi (NATIONALLICENCE)springer-10.1007/BF01064170 Rothstein Mitchell Department of Mathematics, University of Georgia, 30602, Athens, GA, U.S.A. aut Connections on the total Picard sheaf and the KP hierarchy [Elektronische Daten] [Mitchell Rothstein] A family of connections is introduced on a direct limit of Poincaré sheaves of a curve. These connections descend to connections on the corresponding direct limit of Picard sheaves, defined globally on the Jacobian of the curve. All such connections are classified; in particular they are all flat. Krichever's algebro-geometric solutions of the KP equations are recovered upon trivializing the resulting \tdD-modules over the complement of the Θ divisor. Kluwer Academic Publishers, 1996 KP hierarchy nationallicence Picard sheaves nationallicence Poincaré sheaves nationallicence Acta Applicandae Mathematica Kluwer Academic Publishers; gopher://gopher.wkap.nl 42/3(1996-03-01), 297-308 0167-8019 42:3<297 1996 42 10440 https://doi.org/10.1007/BF01064170 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01064170 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Rothstein Mitchell Department of Mathematics, University of Georgia, 30602, Athens, GA, U.S.A aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers; gopher://gopher.wkap.nl 42/3(1996-03-01), 297-308 0167-8019 42:3<297 1996 42 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer