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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Curves in Grassmannians
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by Montserrat Teixidor i Bigas
Proc. Amer. Math. Soc. 126 (1998), 1597-1603
DOI: https://doi.org/10.1090/S0002-9939-98-04475-X
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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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Bibliographic 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
  • MR Author ID: 214136
  • Email: mteixido@tufts.edu, teixidor@dpmms.cam.ac.uk
  • Received by editor(s): November 8, 1996
  • Communicated by: Ron Donagi
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 1597-1603
  • MSC (1991): Primary 14F05, 14H10; Secondary 14H45
  • DOI: https://doi.org/10.1090/S0002-9939-98-04475-X
  • MathSciNet review: 1459153