Research Methodology Seminar Date: Monday, 10 April, 2023. Time: 3:30 PM Venue: Lecture Hall 1 Projective Normality of Finite Group Quotients Aisha Negi 10-04-23 Abstract 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.
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