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

Ivanics, Péter and Stipsicz, András and Szabó, Szilárd (2019) Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 15. ISSN 1815-0659

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Abstract

We 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 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.

Item Type: Article
Uncontrolled Keywords: elliptic fibrations; irregular Higgs bundles; Hitchin fibration;
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 20 Dec 2019 13:47
Last Modified: 20 Dec 2019 13:47
URI: http://real.mtak.hu/id/eprint/104759

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