Universal parabolic moduli over \(\overline{M}_{g,n}\)

DOI10.1007/s12044-023-00725-7zbMath1524.14074arXiv2211.02901OpenAlexW4385494530MaRDI QIDQ6050192

Jagadish Pine

Publication date: 18 September 2023

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.02901

zbMATH Keywords

slope-stabilityuniversal moduli$p_2$-stabilityDeligne-Mumford marked stable curveGieseker bundleparabolic torsion free sheaves

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60) Sheaves in algebraic geometry (14F06)

Cites Work

• Unnamed Item
• Unnamed Item
• A degeneration of the moduli space of stable bundles
• Moduli of parabolic stable sheaves
• Moduli for principal bundles over algebraic curves. I
• Moduli of vector bundles on curves with parabolic structures
• Degenerations of the moduli spaces of vector bundles on curves. II. (Generalized Gieseker moduli spaces)
• Moduli of representations of the fundamental group of a smooth projective variety. I
• The Hilbert compactification of the universal moduli space of semistable vector bundles over smooth curves
• Moduli-stacks for bundles on semistable curves
• The irreducibility of the space of curves of a given genus
• Quotient spaces modulo reductive algebraic groups
• Torsors on semistable curves and degenerations
• Moduli of parahoric 𝒢-torsors on a compact Riemann surface
• A Geometric Invariant Theory Construction of Moduli Spaces of Stable Maps
• Geometric Invariant Theory
• Notes on stable maps and quantum cohomology
• A Degeneration of Moduli of Hitchin Pairs
• A Compactification over \overline{𝑀_{𝑔}} of the Universal Moduli Space of Slope-Semistable Vector Bundles