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

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dc.contributor.authorIvanics, P.
dc.contributor.authorStipsicz, A.I.
dc.contributor.authorSzabó, S.
dc.date.accessioned2025-12-05T09:27:37Z
dc.date.issued2019
dc.description.abstractWe analyze and completely describe the four cases when the Hitchin fibration on a 2-dimensional moduli space of irregular Higgs bundles over CP¹ has a single singular fiber. The case when the fiber at infinity is of type I₀* 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.
dc.description.sponsorshipThe authors acknowledge support of NKFIH through the Élvonal (Frontier) program, with grant KKP126683. The third author was also supported by the grant NKFIH 120697. The authors would like to thank the anonymous referees for many helpful comments, suggestions, and corrections.
dc.identifier.citationHitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber / P. Ivanics, A.I. Stipsicz, S. Szabó // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 26 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2019.085
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 14J27; 14H40; 14H60
dc.identifier.otherarXiv: 1808.10125
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210303
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleHitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2019, том 15, випуск за цей рік