Compactifications of reductive groups as moduli stacks of bundles

DOI10.1112/S0010437X15007484zbMath1390.14043arXiv1105.4830MaRDI QIDQ2787620

Johan Martens, Michael Thaddeus

Publication date: 4 March 2016

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4830

zbMATH Keywords

compactificationsreductive groupsprincipal bundlesmoduli problems

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Group actions on varieties or schemes (quotients) (14L30) Stacks and moduli problems (14D23) Compactifications; symmetric and spherical varieties (14M27) Algebraic monoids (20M32)

Related Items

Wonderful asymptotics of matrix coefficient \(D\)-modules ⋮ Torsors on semistable curves and degenerations ⋮ On non-Abelian symplectic cutting ⋮ The Peterson variety and the wonderful compactification ⋮ A wonderful embedding of the loop group ⋮ The wonderful compactification for quantum groups ⋮ Rota-Baxter algebras, singular hypersurfaces, and renormalization on Kausz compactifications ⋮ Expanded Degenerations and Pairs ⋮ On a logarithmic version of the derived McKay correspondence

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homogeneous spaces and equivariant embeddings
• Toric varieties and spherical embeddings over an arbitrary field
• Stable reductive varieties. I: Affine varieties
• Toroidal embeddings. I
• A degeneration of the moduli space of stable bundles
• Complete collineations and blowing up determinantal ideals
• A relative Hilbert-Mumford criterion
• Tame stacks in positive characteristic
• Versal deformations and algebraic stacks
• Algebraic monoids and group embeddings
• Degenerations of the moduli spaces of vector bundles on curves. II. (Generalized Gieseker moduli spaces)
• Principal bundles over chains or cycles of rational curves.
• A modular compactification of the general linear group
• Stable morphisms to singular schemes and relative stable morphisms.
• On generalisations of Losev-Manin moduli spaces for classical root systems
• The Hilbert compactification of the universal moduli space of semistable vector bundles over smooth curves
• Linear algebraic monoids.
• Complete collineations revisited
• Kac-Moody groups, their flag varieties and representation theory
• Toric hyperkähler varieties
• Moduli spaces of weighted pointed stable curves.
• On non-Abelian symplectic cutting
• The total coordinate ring of a wonderful variety
• Regular elements of semisimple algebraic groups
• The irreducibility of the space of curves of a given genus
• Semisimple group schemes over complete curves
• Algebraic spaces
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Éléments de géométrie algébrique. I: Le langage des schémas. II: Étude globale élémentaire de quelques classe de morphismes. III: Étude cohomologique des faisceaux cohérents (première partie)
• Principal bundles over the projective line
• On automorphism groups of fiber bundles
• Smooth toric Deligne-Mumford stacks
• The orbifold Chow ring of toric Deligne-Mumford stacks
• Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
• Deformations of Algebraic Schemes
• Deformation Theory
• MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
• Twisted Bundles and Admissible Covers
• A Gieseker type degeneration of moduli stacks of vector bundles on curves
• The Integral Chow Ring of the Stack of at Most 1-Nodal Rational Curves
• On Complete Quadrics (I)
• On Complete Quadrics (II)
• New moduli spaces of pointed curves and pencils of flat connections.

This page was built for publication: Compactifications of reductive groups as moduli stacks of bundles