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Bibliographic Details
Main Author: Casarin, Luca
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2501.08923
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author Casarin, Luca
author_facet Casarin, Luca
contents In this note we write down a proof of the following well known fact, in order to make the literature more transparent. Let $\mathfrak{g}$ be a simple Lie algebra, then for any smooth curve $C$, the bundle underlying any $\mathfrak{g}$-Oper depends only on the curve and it is induced by the canonical $\text{Aut}\, O$ bundle $\text{Aut}_C$ on $C$.
format Preprint
id arxiv_https___arxiv_org_abs_2501_08923
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A note on the bundle underlying Opers
Casarin, Luca
Algebraic Geometry
Representation Theory
14H70
In this note we write down a proof of the following well known fact, in order to make the literature more transparent. Let $\mathfrak{g}$ be a simple Lie algebra, then for any smooth curve $C$, the bundle underlying any $\mathfrak{g}$-Oper depends only on the curve and it is induced by the canonical $\text{Aut}\, O$ bundle $\text{Aut}_C$ on $C$.
title A note on the bundle underlying Opers
topic Algebraic Geometry
Representation Theory
14H70
url https://arxiv.org/abs/2501.08923