Vector bundles on p-adic curves and parallel transport

DOI10.1016/j.ansens.2005.05.002zbMath1087.14026OpenAlexW2070627869WikidataQ56813094 ScholiaQ56813094MaRDI QIDQ5706762

Christopher Deninger, Annette Werner

Publication date: 22 November 2005

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2005_4_38_4_553_0

zbMATH Keywords

coveringalgebraic fundamental grouprepresentation, strong semistability

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Coverings of curves, fundamental group (14H30) Vector bundles on curves and their moduli (14H60)

Related Items (18)

Projective crystalline representations of étale fundamental groups and twisted periodic Higgs-de Rham flow ⋮ TRANSPORT PARALLÈLE ET CORRESPONDANCE DE SIMPSON -ADIQUE ⋮ Non-properness of the functor of \(F\)-trivial bundles ⋮ Line bundles on rigid spaces in thev-topology ⋮ -DIVISIBILITY FOR COHERENT COHOMOLOGY ⋮ A \(p\)-adic Simpson correspondence for rigid analytic varieties ⋮ Strongly semistable reduction of syzygy bundles on plane curves ⋮ Non-Archimedean geometry and applications. Abstracts from the workshop held January 30 -- February 5, 2022 ⋮ The \(p\)-adic Corlette-Simpson correspondence for abeloids ⋮ Algebraic and analytic parallel transport on \(p\)-adic curves ⋮ Uniformization of \(p\)-adic curves via Higgs-de Rham flows ⋮ The Albanese map for curves and contractions ⋮ \(p\)-adic representations and vector bundles on Mumford curves ⋮ Homogeneous \(p\)-adic vector bundles on abelian varieties that are analytic tori. II ⋮ Parallel transport for vector bundles on 𝑝-adic varieties ⋮ Semistable Higgs bundles, periodic Higgs bundles and representations of algebraic fundamental groups ⋮ A \(p\)-adic Simpson correspondence ⋮ Rigid analytic \(p\)-adic Simpson correspondence for line bundles

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