• Criterion for smoothness of Schubert varieties in Sl(n)/B

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/100/01/0045-0052

    • Keywords

       

      Schubert variety; smoothness, geometric criterion

    • Abstract

       

      LetG=Sl(n) andB, the Borel subgroup ofG consisting of upper triangular matrices. LetwSn andX(w)=BwB(modB), the associated Schubert variety inG/B. In this paper, we give a geometric criterion for the smoothness ofX(w). This criterion admits a neat combinatorial description in terms of the permutationw.

    • Author Affiliations

       

      V Lakshmibai1 B Sandhya2 3

      1. Mathematics Department, Northeastern University, Boston, Ma. - 02115, USA
      2. Institute of Mathematical Sciences, Madras - 600 113, India
      3. School of Mathematics, SPIC Science Foundation, No. 92, GN Chetty Road, T. Nagar, Madras - 600 017, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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