Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2202.11874 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- Let $C$ be a smooth irreducible irreducible projective curve of genus $g \ge 2$. Let $\mathcal{M}_C(n, δ)$ be the moduli space of semi-stable vector bundles on $C$ of rank $n$ and fixed determinant $δ$ of degree $d$. Then the locus of wobbly bundles is known to be closed in $\mathcal{M}_C(n, δ)$. It was announced by Laumon and attributed to Drinfeld that the wobbly locus is pure of co-dimension one, i.e., they form a divisor in $\mathcal{M}_C(n, δ)$. This is now known as Drinfeld's conjecture. In this article, we will give a proof of the conjecture when $n$ and $d$ are coprime.