Hilbert-Mumford stability on algebraic stacks and applications to $\mathcal{G}$-bundles on curves

In these notes we reformulate the classical Hilbert-Mumford criterion for GIT stability in terms of algebraic stacks, this was independently done by Halpern-Leinster. We also give a geometric condition that guarantees the existence of separated coarse moduli spaces for the substack of stable objects...

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Bibliographic Details
Main Author: Jochen Heinloth
Format: Article
Language:English
Published: Association Epiga 2018-01-01
Series:Épijournal de Géométrie Algébrique
Subjects:
Online Access:https://epiga.episciences.org/2062/pdf

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