Algebraic and analytic parallel transport on p-adic curves

Authors :: Thomas Ludsteck
Source :: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 83:83-99
Publication Year :: 2013
Publisher :: Springer Science and Business Media LLC, 2013.
Abstract: We relate two different partial p-adic analogues of the classical Riemann-Hilbert correspondence on curves. The first one comes from Deninger-Werner and Faltings and is of algebraic nature. The second one comes from Andre and Berkovich and is defined on Berkovich analytic spaces.

Subjects :: Algebra
Mathematics::Algebraic Geometry
Number theory
Parallel transport
Riemann–Hilbert correspondence
Differential geometry
Mathematics::Number Theory
General Mathematics
Algebra over a field
Algebraic number
Topology (chemistry)
Algebraic geometry and analytic geometry
Mathematics

ISSN :: 18658784 and 00255858
Volume :: 83
Database :: OpenAIRE
Journal :: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
Accession number :: edsair.doi...........a4d75e61521b92bda6ff00fc2512789e
Full Text :: https://doi.org/10.1007/s12188-013-0076-0