On the computation of the Picard group for certain singular quartic surfaces

DOI10.2478/s12175-012-0094-xzbMath1317.14086OpenAlexW2072492379MaRDI QIDQ4920117

Jörg Jahnel, Andreas-Stephan Elsenhans

Publication date: 16 May 2013

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

Full work available at URL: https://doi.org/10.2478/s12175-012-0094-x

zbMATH Keywords

\(K3\) surfacePicard ranksingular quartic surface\(A_1\) singularityCayley-Rohn quarticvan Luijk's method

Mathematics Subject Classification ID

Rational points (14G05) (K3) surfaces and Enriques surfaces (14J28) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Picard groups (14C22)

Related Items (1)

Examples of  surfaces with real multiplication

Cites Work

• The Picard group of a \(K3\) surface and its reduction modulo \(p\)
• Classification of normal quartic surfaces with irrational singularities

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