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On the projective geometry of rational homogeneous varieties

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Commentarii Mathematici Helvetici

Abstract.

We determine the varieties of linear spaces on rational homogeneous varieties, provide explicit geometric models for these spaces, and establish basic facts about the local differential geometry of rational homogeneous varieties.

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Authors and Affiliations

  1. School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA , , , , , , US

    J.M. Landsberg

  2. Institut Fourier, UMR 5582 du CNRS, Université Grenoble I, BP 74, 38402 Saint Martin d'Hères cedex, France , , , , , , FR

    L. Manivel

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  1. J.M. Landsberg
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  2. L. Manivel
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Received: February 23, 2001

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Landsberg, J., Manivel, L. On the projective geometry of rational homogeneous varieties. Comment. Math. Helv. 78, 65–100 (2003). https://doi.org/10.1007/s000140300003

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  • DOI: https://doi.org/10.1007/s000140300003

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