On the existence of gr-semistable filtrations of orthogonal/symplectic \(\lambda\)-connections

DOI10.5802/JEP.276MaRDI QIDQ6621566

Mao Sheng, Jianping Wang, Hao Sun

Publication date: 18 October 2024

Published in: Journal de l’École polytechnique — Mathématiques (Search for Journal in Brave)

zbMATH Keywords

semistabilitygr-semistabilityorthogonal/symplectic \(\lambda\)-connectionquasi gr-semistability

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Variation of Hodge structures (algebro-geometric aspects) (14D07)

Cites Work

• Title not available (Why is that?)
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• Semistable modules over Lie algebroids in positive characteristic
• Orthogonal and symplectic parabolic bundles
• Moduli for principal bundles over algebraic curves. I
• Higgs bundles and local systems
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• Integral canonical models for automorphic vector bundles of abelian type
• Semistable bundles over an elliptic curve
• Semistable principal bundles. II: Positive characteristics
• Stable principal bundles on a compact Riemann surface
• A comparison of generalized opers and \((G, P)\)-opers
• \((G,P)\)-opers and global Slodowy slices
• Topological invariants of parabolic \(G\)-Higgs bundles
• Semistable Higgs bundles, periodic Higgs bundles and representations of algebraic fundamental groups
• Iterated destabilizing modifications for vector bundles with connection
• Vector Bundles Over an Elliptic Curve
• The Hodge filtration on nonabelian cohomology
• Stable vector bundles and the frobenius morphism
• Existence of moduli spaces for algebraic stacks
• Logahoric Higgs torsors for a complex reductive group

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