On the moduli spaces of singular principal bundles on stable curves
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Ángel Luis Muñoz Castañeda
Abstract
We prove the existence of a linearization for singular principal G-bundles not depending on the base curve. This allow us to construct the relative compact moduli space of δ-(semi)stable singular principal G-bundles over families of reduced projective and connected nodal curves, and to reduce the construction of the universal moduli space over 𝓜g to the construction of the universal moduli space of swamps.
Acknowledgements
This paper presents part of the results obtained in the author’s PhD thesis at Freie Universität Berlin. The author would like to thank his supervisor, Alexander Schmitt, for his encouragement, guidance and support, as well as the reviewers, who helped to improve the original version of this paper.
Communicated by: R. Cavalieri
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- Topology of tropical moduli of weighted stable curves
- Classification of slant surfaces in 𝕊3 × ℝ
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- Exceptional points for finitely generated Fuchsian groups of the first kind
- Tropical superelliptic curves
- Differentiability of projective transformations in dimension 2
- On pseudo-Einstein real hypersurfaces
- On the moduli spaces of singular principal bundles on stable curves
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Articles in the same Issue
- Frontmatter
- Topology of tropical moduli of weighted stable curves
- Classification of slant surfaces in 𝕊3 × ℝ
- New dense superball packings in three dimensions
- Explicit computation of some families of Hurwitz numbers, II
- An extension theorem for non-compact split embedded Riemannian symmetric spaces and an application to their universal property
- Moduli of stable sheaves supported on curves of genus three contained in a quadric surface
- Exceptional points for finitely generated Fuchsian groups of the first kind
- Tropical superelliptic curves
- Differentiability of projective transformations in dimension 2
- On pseudo-Einstein real hypersurfaces
- On the moduli spaces of singular principal bundles on stable curves
- Three-dimensional connected groups of automorphisms of toroidal circle planes
