Geodesic
Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber
Symmetry, integrability and geometry: methods and applications, Tome 15 (2019) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{SIGMA_2019_15_a84,
     author = {P\'eter Ivanics and Andr\'as I. Stipsicz and Szil\'ard Szab\'o},
     title = {Hitchin {Fibrations} on {Two-Dimensional} {Moduli} {Spaces} of {Irregular} {Higgs} {Bundles} with {One} {Singular} {Fiber}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2019},
     volume = {15},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2019_15_a84/}
}
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Péter Ivanics; András I. Stipsicz; Szilárd Szabó. Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber. Symmetry, integrability and geometry: methods and applications, Tome 15 (2019). http://geodesic.mathdoc.fr/item/SIGMA_2019_15_a84/

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