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Curves in Grassmannians


Author: Montserrat Teixidor i Bigas
Journal: Proc. Amer. Math. Soc. 126 (1998), 1597-1603
MSC (1991): Primary 14F05, 14H10; Secondary 14H45
MathSciNet review: 1459153
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Abstract: This paper considers curves in Grassmannians which are themselves immersed in projective space by the Plücker 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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Additional Information

Montserrat Teixidor i Bigas
Affiliation: Department of Mathematics, Tufts University, Medford, Massachusetts 02155
Address at time of publication: D.P.M.M.S., 16 Mills Lane, Cambridge CB2 1SB, England
Email: mteixido@tufts.edu, teixidor@dpmms.cam.ac.uk

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04475-X
Keywords: Algebraic curve, Grassmannian, vector bundle, projective normality, syzygy
Received by editor(s): November 8, 1996
Communicated by: Ron Donagi
Article copyright: © Copyright 1998 American Mathematical Society