• Projective Normality of Weyl Group Quotients

• # Fulltext

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

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

• # Proceedings – Mathematical Sciences

Volume 130, 2020
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• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019

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