LOCAL STRUCTURE OF MODULI SPACES

DOI10.1142/S0129167X11007409zbMath1246.14050arXiv1009.1899OpenAlexW1997602631MaRDI QIDQ3110898

Francois-Xavier Machu

Publication date: 16 January 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.1899

zbMATH Keywords

stabilitysingularitiesboundednessversal deformationsmoduli spacesdifferential operatorsconnectionsgood quotientsluna slices

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Vector bundles on curves and their moduli (14H60) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34) Local deformation theory, Artin approximation, etc. (14B12) Fine and coarse moduli spaces (14D22)

Cites Work

• Holonomy groups of stable vector bundles
• Moduli of stable parabolic connections, Riemann-Hilbert correspondence and geometry of Painlevé equation of type VI. I
• Moduli of stable sheaves. I
• Moduli of stable sheaves. II
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Solution of matrix Riemann-Hilbert problems with quasi-permutation monodromy matrices
• La singularité de O’Grady
• NEW SYMPLECTIC V-MANIFOLDS OF DIMENSION FOUR VIA THE RELATIVE COMPACTIFIED PRYMIAN

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