Vector bundles on p-adic curves and parallel transport

By C. Deninger, Annette Werner. 2004

65 citations recorded by the source corpus.

Abstract We define functorial isomorphisms of parallel transport along etale paths for a class of vector bundles on a p -adic curve. All bundles of degree zero whose reduction is strongly semistable belong to this class. In particular, they give rise to representations of the algebraic fundamental group of the curve. This may be viewed as a partial analogue of the classical Narasimhan–Seshadri theory of vector bundles on compact Riemann surfaces.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9d361d386b9320c37488fbf427d8129346391816

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In Geometry and Topology

1. Mao Sheng
2. K. Zuo
3. Guitang Lan
4. Mihnea Cristian Popa
5. C. Schnell
6. E. Viehweg
7. De-Qi Zhang
8. Martin Moeller

In Mathematical Physics

1. Mao Sheng
2. K. Zuo
3. Guitang Lan
4. Martin Moeller
5. Jan Rohde

Citations in the corpus

• Semistable Higgs bundles, periodic Higgs bundles and representations of algebraic fundamental groups (2013, result): “In [6], Faltings has established an equivalence of categories between the category of generalized representations of the geometric fundamental group and the category of Higgs bundles over a p-adic curve, which has generalized the earlier work of DeningerWerner [2] on a partial p-adic analogue of Nar”