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On the Essential Dimension of Symplectic Vector Bundles Over Curves by Dhillon, Ajneet; Chowdhury, Sayantan Roy is a scholarly article available to read on EtoBox.

What is On the Essential Dimension of Symplectic Vector Bundles Over Curves about?

Let $X$ 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 $X$. 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.

Author

Dhillon, Ajneet; Chowdhury, Sayantan Roy

Published

2024

Language

EN