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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/121/01/0019-0026

    • Keywords

       

      Line bundle; polarizations.

    • Abstract

       

      In this note, we prove that for the standard representation 𝑉 of the Weyl group 𝑊 of a semi-simple algebraic group of type $A_n,B_n,C_n,D_n,F_4$ and $G_2$ over $\mathbb{C}$, the projective variety $\mathbb{P}(V^m)/W$ is projectively normal with respect to the descent of $\mathcal{O}(1)^{\otimes|W|}$, where $V^m$ denote the direct sum of 𝑚 copies of 𝑉.

    • Author Affiliations

       

      S S Kannan1 S K Pattanayak1

      1. Chennai Mathematical Institute, Plot H1, SIPCOT IT Park, Padur Post Office, Siruseri 603 103, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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