arXiv Analytics

Sign in

arXiv:2002.11832 [math.AG]AbstractReferencesReviewsResources

On the quasicompactness of some moduli stacks of G-bundles with connections over a curve

Andres Fernandez Herrero

Published 2020-02-26Version 1

Fix a smooth projective curve with some given set of punctures. In this note we prove that the moduli of G-bundles with logarithmic connections having fixed monodromy classes at the punctures is an algebraic stack of finite type. We also provide a short self-contained proof of the fact that the moduli stack of flat G-bundles on the curve is of finite type.

Comments: 24 pages
Categories: math.AG, math.DG
Subjects: 14D23, 53B15, 14H60
Related articles: Most relevant | Search more
arXiv:1105.4830 [math.AG] (Published 2011-05-24, updated 2015-05-21)
Compactifications of reductive groups as moduli stacks of bundles
arXiv:math/0207228 [math.AG] (Published 2002-07-25, updated 2003-06-15)
A characterization of certain Shimura curves in the moduli stack of abelian varieties
arXiv:math/9905069 [math.AG] (Published 1999-05-12)
A remark on periodic points on varieties over a field of finite type over Q

Links

Toolbox