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Degenerations of flag and Schubert varieties to toric varieties

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Abstract

In this paper, we prove the degenerations of Schubert varieties in a minusculeG/P, as well as the class of Kempf varieties in the flag varietySL(n)/B, to (normal) toric varieties. As a consequence, we obtain that determinantal varietes degenerate to (normal) toric varieties.

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Authors and Affiliations

  1. Department of Mathematics, Northeastern University, 02115, Boston, MA, USA

    N. Gonciulea & V. Lakshmibai

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  1. N. Gonciulea
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  2. V. Lakshmibai
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Both of the authors are partially supported by NSF Grant DMS 9502942.

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Gonciulea, N., Lakshmibai, V. Degenerations of flag and Schubert varieties to toric varieties. Transformation Groups 1, 215–248 (1996). https://doi.org/10.1007/BF02549207

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  • DOI: https://doi.org/10.1007/BF02549207

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