Curves in Grassmannians

Montserrat Teixidor-i-Bigas

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arXiv · alg-geom/9705020

Curves in Grassmannians

Montserrat Teixidor-i-Bigas

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Abstract

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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BibTeX RIS

Montserrat Teixidor-i-Bigas. 1997-05-22. Curves in Grassmannians. https://arxiv.org/abs/alg-geom/9705020

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