Calculating the Mordell-Weil rank of elliptic threefolds and the cohomology of singular hypersurfaces

DOI10.5802/aif.2637zbMath1246.14057arXiv0806.2025OpenAlexW2962817563MaRDI QIDQ660443

Klaus Hulek, Remke Kloosterman

Publication date: 2 February 2012

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.2025

zbMATH Keywords

cohomology of singular varietiesmixed Hodge stucturesMordell-Weil group of elliptic threefolds

Mathematics Subject Classification ID

(3)-folds (14J30) Global theory of complex singularities; cohomological properties (32S20) Hypersurfaces and algebraic geometry (14J70) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35)

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Cites Work

• A different method to calculate the rank of an elliptic threefold
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• Filtrations de Hodge et par l'ordre du pôle pour les hypersurfaces singulières
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• Arithmetic on elliptic threefolds
• Elliptic K3 Surfaces with Geometric Mordell–Weil Rank 15
• Mixed Hodge Structures
• The Noether-Lefschetz Locus of Regular Elliptic Surfaces with Section and p g ≥2
• Defect of a nodal hypersurface
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