Title: Projective Normality of G.I.T. quotient varieties modulo finite groups

2015.06.19 |

Date | Thu 25 Jun |

Time | 15:15 — 16:15 |

Location | 1531-019 (D-03) |

We prove that for any finite dimensional vector space *V* over an algebraically closed field *K*, and for any finite subgroup *G* of *GL*(*V*) which is either solvable or is generated by pseudo reflections such that the |*G*| is a unit in *K*, the projective variety *P*(*V*)/*G* is projectively normal with respect to the descent of *O*(1)^{⊗}^{|G|}, where *O*(1) denotes the ample generator of the Picard group of ℙ(*V*). We also 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