The moduli stack of principal $\rho $-sheaves and Gieseker-Harder-Narasimhan filtrations

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Geometric invariant theory (14L24) Algebraic moduli problems, moduli of vector bundles (14D20) Stacks and moduli problems (14D23) Sheaves in algebraic geometry (14F06)

Cites Work

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On the Gieseker Harder-Narasimhan filtration for principal bundles
Harder-Narasimhan filtration for rank 2 tensors and stable coverings
General Hilbert stacks and Quot schemes
Moduli spaces for principal bundles in arbitrary characteristic
Principal bundles on the affine line
Valuative criteria for families of vector bundles on algebraic varieties
On the cohomology groups of moduli spaces of vector bundles on curves
Instability in invariant theory
Semi-stability of reductive group schemes over curves
Restriction theorems for principal bundles
Schematic Harder-Narasimhan stratification for families of principal bundles in higher dimensions
Semistable principal bundles. II: Positive characteristics
Stable principal bundles on a compact Riemann surface
Harder-Narasimhan reduction for principal bundles over a compact Kähler manifold
Semistable principal bundles. I: Characteristic zero.
Examples for embeddings of groups $\text{PSL}_ 2(F_ p)$ into simple Lie groups
Maximality of Galois actions for compatible systems
Schematic Harder-Narasimhan stratification for families of principal bundles and $\lambda$-modules
A GIT interpretation of the Harder-Narasimhan filtration
Coherent Tannaka duality and algebraicity of Hom-stacks
Principal bundles on projective varieties and the Donaldson-Uhlenbeck compactification
Moduli space of principal sheaves over projective varieties
Good moduli spaces for Artin stacks
SCHEMATIC HARDER–NARASIMHAN STRATIFICATION
Bounds for Behrend's Conjecture on the Canonical Reduction
Addendum to “Semistable reduction of 𝐺-bundles on curves”
Geometric Invariant Theory
Hilbert-Mumford stability on algebraic stacks and applications to $\mathcal{G}$-bundles on curves
The Yang-Mills equations over Riemann surfaces
Harder–Narasimhan reduction of a principal bundle
Semistable reduction for $G$-bundles on curves
Existence of moduli spaces for algebraic stacks
Moduli spaces of sheaves via affine Grassmannians

The moduli stack of principal \(\rho \)-sheaves and Gieseker-Harder-Narasimhan filtrations