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

Symmetry Integrability and Geometry-Methods and Applications

article

Péter Ivanics¹  András I. Stipsicz¹  Szilárd Szabó² 

[1] Rényi Institute of Mathematics;Budapest University of Technology and Economics

关键词: irregular Higgs bundles;    Hitchin fibration;    elliptic fibrations;   

DOI  :  10.3842/SIGMA.2019.085

来源: National Academy of Science of Ukraine

【 摘 要 】

We analyze and completely describe the four cases when the Hitchin fibration on a $2$-dimensional moduli space of irregular Higgs bundles over $\mathbb{C}P^{1}$ 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 inelliptic fibrations having this type of singular fiber at infinity.

【 授权许可】

Unknown