Multiple fibres on surfaces: geometry, hyperbolic and arithmetic aspects

DOI10.1007/s00229-005-0570-5zbMath1129.14051OpenAlexW2058341805MaRDI QIDQ2388441

Frédéric Campana

Publication date: 13 September 2005

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-005-0570-5

zbMATH Keywords

function fieldsurface of general typeLang conjectureorbifold basis

Mathematics Subject Classification ID

Rational points (14G05) (3)-folds (14J30) Fibrations, degenerations in algebraic geometry (14D06) Surfaces of general type (14J29) (n)-folds ((n>4)) (14J40)

Related Items (14)

Campana points and powerful values of norm forms ⋮ Orbifoldes géométriques spéciales et classification biméromorphe des variétés kählériennes compactes ⋮ Sums of Three Squareful Numbers ⋮ Lang-Vojta conjecture over function fields for surfaces dominating \(\mathbb{G}_m^2\) ⋮ Numerically non-special varieties ⋮ Orbifold hyperbolicity ⋮ Arithmetic of higher-dimensional orbifolds and a mixed Waring problem ⋮ Arithmetic Aspects of Orbifold Pairs ⋮ Squareful points of bounded height ⋮ Fibrations of Campana general type on surfaces ⋮ A Brody theorem for orbifolds ⋮ Campana points, Vojta’s conjecture, and level structures on semistable abelian varieties ⋮ Rational points over complex function fields: remarks on isotriviality and dominatedness ⋮ Failure of the Brauer-Manin principle for a simply connected fourfold over a global function field, via orbifold Mordell

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