Representations attached to vector bundles on curves over finite and p-adic fields, a comparison

zbMATH Open1310.14035arXiv0903.2961MaRDI QIDQ3003944

Christopher Deninger

Publication date: 31 May 2011

Abstract: For a vector bundle E on a model of a smooth projective curve over a p-adic number field a p-adic representation of the geometric fundamental group of X has been defined in work with Annette Werner if the reduction of E is strongly semistable of degree zero. In the present note we calculate the reduction of this representation using the theory of Nori's fundamental group scheme.

Full work available at URL: https://arxiv.org/abs/0903.2961

zbMATH Keywords

vector bundlefundamental group schemerepresentations of the fundamental group

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Local ground fields in algebraic geometry (14G20) (p)-adic theory, local fields (11F85) Vector bundles on curves and their moduli (14H60)

Related Items (3)

Integral representations of unramified Galois groups and matrix divisors over number fields ⋮ Almost \(\mathbb{C}_p\) Galois representations and vector bundles ⋮ Parallel transport for vector bundles on 𝑝-adic varieties

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