论文标题
抛物线式Hitchin系统的拓扑镜对称性
Topological Mirror Symmetry of Parabolic Hitchin Systems
论文作者
论文摘要
在本文中，我们首先证明了抛物线的Beauvile-Narasimhan-Ramanan在一个任意领域上的对应关系，该字段将相应的结果推广到[SWW22]中的代数闭合场上。我们使用groechenigwyss-Ziegler [GWZ20B]开发的对应关系和P-ADIC积分方法来证明具有任意抛物线结构的曲线上的抛物线寄生虫Hitchin系统的拓扑镜对称性。
In this paper, we first prove the parabolic Beauvile-Narasimhan-Ramanan correspondence over an arbitrary field which generalizes the corresponding results over algebraically closed fields in [SWW22]. We use the correspondence and the p-adic integration methods developed by Groechenig- Wyss-Ziegler [GWZ20b] to prove the topological mirror symmetry for parabolic Hitchin systems on curves with arbitrary parabolic structures.
