TY - JOUR AU - Plaza Martín, Francisco José PY - 2000 SN - 2156-2261 UR - http://hdl.handle.net/10366/159331 AB - [EN]It is shown that the Determinant line bundle generates the Picard group of the infinite Grassmannian and that it is defined by the Pliicker equations. An approach to its automorphism group is also offered. LA - eng TI - The Grassmannian of $k((z))$: Picard group, equations and automorphisms DO - 10.1215/kjm/1250517681 T2 - Kyoto Journal of Mathematics VL - 40 ER -