A construction of Shatz strata in the polystable $ G_2 $-bundles moduli space using Hecke curves

A construction of Shatz strata in the polystable $ G_2 $-bundles moduli space using Hecke curves

Let $ X $ be a compact Riemann surface of genus $ g\geq 2 $ and $ M(G_2) $ be the moduli space of polystable principal $ G_2 $-bundles over $ X $. The Harder-Narasimhan types of the bundles induced a stratification of the moduli space $ M(G_2) $ called Shatz stratification. In this paper, a descript...

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Bibliographic Details
Main Author: Álvaro Antón-Sancho
Format: Article
Language:English
Published: AIMS Press 2024-11-01
Series:Electronic Research Archive
Subjects:
principal bundle
moduli space
$ g_2 $
shatz stratification
hecke curve
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2024283
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https://www.aimspress.com/article/doi/10.3934/era.2024283

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