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arXiv · 2001.04924

On the essential (p)-dimension of parabolic bundles on a curve

Ajneet Dhillon·Dinesh Valluri
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Abstract

We study the essential dimension and essential p-dimension of the moduli stack of vector bundles over a smooth orbifold curve containing a rational point. We improve the known bounds on this essential dimension and obtain an equality modulo the famous conjecture of Colliot-Thelene, Karpenko and Merkurjev. In the case of essential p-dimension we obtain an equality.

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Ajneet Dhillon, Dinesh Valluri. 2020-01-14. On the essential (p)-dimension of parabolic bundles on a curve. https://arxiv.org/abs/2001.04924

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