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Transactions of the American Mathematical Society

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Curves in Grassmannians


Author: David Perkinson
Journal: Trans. Amer. Math. Soc. 347 (1995), 3179-3246
MSC: Primary 14H60; Secondary 14H45, 14M15
MathSciNet review: 1308020
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Abstract: Curves in Grassmannians are analyzed using the special structure of the tangent bundle of a Grassmannian, resulting in a theory of inflections or Weierstrass behavior. A duality theorem is established, generalizing the classical duality theorem for projective plane curves. The appendices summarize basic information about principal parts bundles and their application to studying the inflections of curves in projective space.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1995-1308020-2
Article copyright: © Copyright 1995 American Mathematical Society