An analytic application of Geometric Invariant Theory

DOI10.1016/j.geomphys.2021.104237zbMath1472.14047arXiv2008.04625OpenAlexW3048391871MaRDI QIDQ2032684

Georg Schumacher, Nicholas P. Buchdahl

Publication date: 14 June 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.04625

zbMATH Keywords

moduli spacesanalytic GIT-quotientsHermite-Einstein connectionspolystable vector bundles on compact Kähler manifolds

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Kähler manifolds (32Q15) Complex-analytic moduli problems (32G13) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

Related Items

Polystable bundles and representations of their automorphisms, An analytic application of Geometric Invariant Theory. II: Coarse moduli spaces, Weil–Petersson forms for families of polystable bundles over compact Kähler manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Weil-Petersson current for moduli of vector bundles and applications to orbifolds
• The topology of quotient varieties
• The moduli space of extremal compact Kähler manifolds and generalized Weil-Petersson metrics
• Holomorphe und meromorphe Abbildungen komplexer Räume
• Holomorphic functions of several variables. An introduction to the fundamental theory. With the assist. of Gottfried Barthel transl. by Michael Bridgland
• Geometric invariant theory on Stein spaces
• A note on coherent G-sheaves
• Infinite determinants, stable bundles and curvature
• Stratified symplectic spaces and reduction
• Reduction of complex Hamiltonian \(G\)-spaces
• Reductive group actions on Stein spaces
• Holomorphic slices, symplectic reduction and multiplicities of representations
• Introduction to moduli problems and orbit spaces
• \(L^2\)-cohomology for affine spaces and an application to monads
• Über holomorphe Abbildungen komplexer Räume
• STRATIFICATIONS ASSOCIATED TO REDUCTIVE GROUP ACTIONS ON AFFINE SPACES
• The Kähler-Ricci flow and K-polystability
• Reduktive Automorphismengruppen analytischer C-Algebren.
• A Stratification of the Null Cone Via the Moment Map
• Self-duality in four-dimensional Riemannian geometry
• Geometric Invariant Theory
• Uniform Stability of Twisted Constant Scalar Curvature Kähler Metrics
• An Extension Theorem for Hermitian Line Bundles