Finite descent obstruction for curves over function fields

DOI10.1007/s00574-012-0001-7zbMath1300.11073OpenAlexW2073500600MaRDI QIDQ1935319

José Felipe Voloch

Publication date: 14 February 2013

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-012-0001-7

zbMATH Keywords

function fieldGalois representationmodularitydescent obstruction

Mathematics Subject Classification ID

[https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Global ground fields in algebraic geometry (14G25)

Cites Work

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• Split reductions of simple abelian varieties
• The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields
• The defect of strong approximation for commutative algebraic groups
• The Brauer–Manin obstruction for integral points on curves
• The Hasse Principle modulo nth powers
• Finite descent obstruction on curves and modularity