On the essential dimension of symplectic vector bundles over curves
Algebraic Geometry
2024-12-13 v1
Abstract
Let be a smooth geometrically connected projective curve of genus at least 2 over a field of characteristic zero. We compute the essential dimension of the moduli stack of symplectic bundles over . Unlike the case of vector bundles, we are able to precisely compute the essential dimension as the generic gerbe of the moduli stack has period 2 over it's moduli space.
Cite
@article{arxiv.2412.05375,
title = {On the essential dimension of symplectic vector bundles over curves},
author = {Ajneet Dhillon and Sayantan Roy Chowdhury},
journal= {arXiv preprint arXiv:2412.05375},
year = {2024}
}