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Solubility of Certain Pencils of Curves of Genus 1, and of the Intersection of two Quadrics in P4

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Publication:2766419
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DOI10.1112/plms/83.2.299zbMath1018.11031OpenAlexW2031722973WikidataQ126260836 ScholiaQ126260836MaRDI QIDQ2766419

H. P. F. Swinnerton-Dyer, Andreas O. Bender

Publication date: 28 January 2002

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/83.2.299

zbMATH Keywords

Del Pezzo surfaceHasse principleelliptic pencil


Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Rational points (14G05) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Varieties over global fields (11G35) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Global ground fields in algebraic geometry (14G25)


Related Items

The solubility of diagonal cubic surfaces, Exhibiting SHA[2 on hyperelliptic Jacobians], Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups, Integral points on conic log K3 surfaces, Hasse principle for intersections of two quadrics.



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