Rational points over complex function fields: remarks on isotriviality and dominatedness

DOI10.1007/s40879-021-00525-1zbMath1497.14006OpenAlexW4207037667MaRDI QIDQ2087688

Frédéric Campana

Publication date: 21 October 2022

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-021-00525-1

zbMATH Keywords

rationally connected manifoldsmanifolds of general typerational points over complex function fieldsspecial manifolds

Mathematics Subject Classification ID

Other nonalgebraically closed ground fields in algebraic geometry (14G27) Rationality questions in algebraic geometry (14E08) Rationally connected varieties (14M22) Local theory in algebraic geometry (14B99)

Cites Work

• Free curves on varieties
• On subvarieties with ample normal bundle
• A numerical criterion for uniruledness
• Projective manifolds with ample tangent bundles
• Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
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• Multiple fibres on surfaces: geometry, hyperbolic and arithmetic aspects
• Foliations with positive slopes and birational stability of orbifold cotangent bundles
• Rationally connected foliations after Bogomolov and McQuillan
• Families of rationally connected varieties
• THREE-DIMENSIONAL QUARTICS AND COUNTEREXAMPLES TO THE LÜROTH PROBLEM
• The Mordell-Lang conjecture for function fields
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