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

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

2009-08-03

arxiv.org/abs/0908.0309v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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