Chennai Mathematical Institute


Research Methodology Seminar
Date: Monday, 10 April, 2023.
Time: 3:30 PM
Venue: Lecture Hall 1
Projective Normality of Finite Group Quotients

Aisha Negi



In this talk we will see proof of the following result.

Let V be a finite dimensional vector space over an algebraically closed field k and let G be a finite subgroup of GL(V) which is either solvable or generated by pseudo reflections such that char k does not divide |G|. Let L denote the descent of the line bundle O(1)^{⊗|G|} to the quotient P(V)/G. Then projective variety P(V)/G is projectively normal with respect to L.