Curves in Grassmannians

Details Curves in Grassmannians Curves in Grassmannians

1997-05-22

arxiv.org/abs/alg-geom/9705020v1

Mathematics

Algebraic Geometry

plaintex. To appear in Proceedings of the AMS

Scientific paper

This paper considers curves in Grassmannians which are themselves immersed in projective space by the Plucker map. It is shown that for a generic vector bundle of high enough degree, the image curve lies in a proper linear subvariety of this projective space and satisfies good conditions on syzygies as a curve in this subspace. For very small degree and generic vector bundle, the curve is non- degenerate.

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