Year: 2025
Type: preprint
Abstract: Let $X_0$ be an irreducible smooth projective curve defined over $\overline{\mathbb Q}$ and $\mathbb E$ a vector bundle on $X_0$. We give a criterion for connections on the base change ${\mathbb E}\otimes_{\overline{\mathbb Q}}{\mathbb C} \rightarrow X_0\times_{{\rm Spec}\,\overline{\mathbb Q}} {\rm Spec}\,\mathbb{C} $ to $\mathbb C$ to be the base change of some connection on $\mathbb E$. A similar criterion is given for Higgs fields on ${\mathbb E}\otimes_{\overline{\mathbb Q}}{\mathbb C}$.
Source: arXiv (Cornell University)
Authors: Biswas, Indranil, Gurjar, Sudarshan
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7083511100
Cites:
Cited by:
Related to: