On the essential (p)-dimension of parabolic bundles on a curve
Algebraic Geometry
2021-04-21 v2
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.
Keywords
Cite
@article{arxiv.2001.04924,
title = {On the essential (p)-dimension of parabolic bundles on a curve},
author = {Ajneet Dhillon and Dinesh Valluri},
journal= {arXiv preprint arXiv:2001.04924},
year = {2021}
}