Abstract
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.
Citation
Francisco J. Plaza-Martín. "The Grassmannian of $k((z))$: Picard group, equations and automorphisms." J. Math. Kyoto Univ. 40 (3) 567 - 580, 2000. https://doi.org/10.1215/kjm/1250517681
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