Upper bounds for the essential dimension of the moduli stack of ${\sl_{n}}$-bundles over a curve

Ajneet Dhillon; Nicole Lemire

paper

Upper bounds for the essential dimension of the moduli stack of ${\sl_{n}}$-bundles over a curve

arXiv:0908.0309

Abstract

We find upper bounds for the essential dimension of various moduli stacks of $\sln$-bundles over a curve. When $n$ is a prime power, our calculation computes the essential dimension of the stack of stable bundles exactly and the essential dimension is not equal to the dimension in this case.

References in corpus (1)

Essential dimension and algebraic stacks