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Symmetry, Integrability and Geometry: Methods and Applications, 2019, Volume 15, 085, 28 pp.
DOI: https://doi.org/10.3842/SIGMA.2019.085 (Mi sigma1521) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber

Péter Ivanicsa, András I. Stipsicza, Szilárd Szabób

a Rényi Institute of Mathematics, 1053 Budapest, Reáltanoda utca 13-15, Hungary
b Budapest University of Technology and Economics, 1111 Budapest, Egry József utca 1, H épület, Hungary
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DOI: https://doi.org/10.3842/SIGMA.2019.085
Abstract: We analyze and completely describe the four cases when the Hitchin fibration on a $2$-dimensional moduli space of irregular Higgs bundles over $\mathbb{C}P1$ has a single singular fiber. The case when the fiber at infinity is of type $I_0^*$ is further analyzed, and we give constructions of all the possible configurations of singular curves in elliptic fibrations having this type of singular fiber at infinity.
Keywords: irregular Higgs bundles, Hitchin fibration, elliptic fibrations.
Funding agency Grant number
Hungarian National Research, Development and Innovation Office KKP126683
120697
The authors acknowledge support of NKFIH through the Élvonal (Frontier) program, with grant KKP126683. The third author was also supported by the grant NKFIH 120697.
Received: February 2, 2019; in final form October 25, 2019; Published online November 4, 2019
Bibliographic databases:
Document Type: Article
MSC: 14J27; 14H40; 14H60
Language: English
Citation: Péter Ivanics, András I. Stipsicz, Szilárd Szabó, “Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber”, SIGMA, 15 (2019), 085, 28 pp.
Citation in format AMSBIB
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\paper Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber
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\vol 15
\papernumber 085
\totalpages 28
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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