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Differential operators and the Frobenius pull back of the tangent bundle on G/P

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Abstract:

In this paper we study the sheaf of differential operators on a flag manifold X in characteristic p>0. We generalize the non-vanishing theorem of Haastert on the associated filtration of . We make use of the lifting of X to characteristic zero and the complex geometry of X.

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Authors and Affiliations

  1. Matematisk Institut, Aarhus Universitet, DK-8000 Århus C, Denmark.¶e-mail: niels@math.au.dk, , , , , , DK

    Niels Lauritzen

  2. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India. e-mail: vikram@math.tifr.res.in, , , , , , IN

    Vikram Mehta

Authors
  1. Niels Lauritzen
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  2. Vikram Mehta
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Received: 27 March 1998

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Lauritzen, N., Mehta, V. Differential operators and the Frobenius pull back of the tangent bundle on G/P. manuscripta math. 98, 507–510 (1999). https://doi.org/10.1007/s002290050157

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  • DOI: https://doi.org/10.1007/s002290050157

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