Starts 12 Nov 2009 15:00

Ends 12 Nov 2009 20:00

Central European Time

Projective normality of finite group quotient varieties and the EGZ theorem

Starts 12 Nov 2009 15:00

Ends 12 Nov 2009 20:00

Central European Time

ICTP

Leonardo da Vinci Building Seminar Room

Strada Costiera, 11
I - 34151 Trieste (Italy)

Let $G$ be a finite group of order $n$. Let $V$ be a finite dimensional representation of $G$ over C. Let $L$ be the descent of the line bundle O(1)^n. We show that the polarised variety $(G\V,L)$ is projectively normal if either $G$ is solvable or $G$ is generated by pseudo reflections. In this proof, we use the combinatorial result of Erd{\o}s-Ginzburg-Ziv. We then show projective normality for solvable groups using toric algebra and deduce the EGZ result as a consequence.

- A. Bergamo