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arXiv · 0908.0309

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

Ajneet Dhillon·Nicole Lemire
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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.

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Ajneet Dhillon, Nicole Lemire. 2009-08-03. Upper bounds for the essential dimension of the moduli stack of ${\sl_{n}}$-bundles over a curve. https://arxiv.org/abs/0908.0309

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