On large Picard groups and the Hasse Principle for curves and K3 surfaces

DOI10.4064/aa-76-2-165-189zbMath0877.14005OpenAlexW1491368672MaRDI QIDQ4883047

Daniel F. Coray, Constantin Manoil

Publication date: 12 August 1996

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/206893

zbMATH Keywords

K3 surfacescounterexamples to the Hasse principle for curveslarge Picard groups

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) (K3) surfaces and Enriques surfaces (14J28) Picard groups (14C22)

Related Items (12)

Multiradical isogenies ⋮ Rational points of bounded height and the Weil restriction ⋮ Brauer-Manin obstruction for zero-cycles on certain varieties ⋮ The index of an algebraic variety ⋮ On reconstructing subvarieties from their periods ⋮ The Brauer-Manin obstruction for curves having split Jacobians ⋮ The Hasse principle and the Brauer-Manin obstruction for curves ⋮ The arithmetic of certain del Pezzo surfaces and \(K3\) surfaces ⋮ Rational classes and divisors on curves of genus 2 ⋮ On polyquadratic twists of \(X_0(N)\) ⋮ On the Hasse principle for certain quartic hypersurfaces ⋮ Rational points and derived equivalence

This page was built for publication: On large Picard groups and the Hasse Principle for curves and K3 surfaces