Upper bounds for the essential dimension of the moduli stack of {sl_(n)}-bundles over a curve
classification
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dimensionessentialbundlesboundscurvemodulistackupper
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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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