ZETA-FUNCTIONS OF CERTAIN K3-FIBERED CALABI–YAU THREEFOLDS

DOI10.1142/S0129167X11006726zbMath1218.14027arXiv0911.0783MaRDI QIDQ3081481

Noriko Yui, Remke Kloosterman, Yasuhiro Goto

Publication date: 8 March 2011

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

Full work available at URL: https://arxiv.org/abs/0911.0783

zbMATH Keywords

resolution of singularitieselliptic fibrationsCalabi-Yau threefoldszeta-functionsdeformations of Calabi-Yau varietiesK3-fibrations

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Varieties over finite and local fields (11G25)

Related Items (6)

A note on the formal groups of weighted Delsarte threefolds ⋮ Borcea–Voisin Calabi–Yau threefolds and invertible potentials ⋮ Monomial deformations of certain hypersurfaces and two hypergeometric functions ⋮ Introduction to Arithmetic Mirror Symmetry ⋮ Unnamed Item ⋮ Borcea-Voisin mirror symmetry for Landau-Ginzburg models

Cites Work

• On Fermat varieties
• Hypersurface simple K3 singularities
• Tate's conjecture for \(K3\) surfaces of finite height
• Transcendental cycles on ordinary K3 surfaces over finite fields
• Finiteness and cohomological purity in rigid cohomology (with an appendix by Aise Johan de Jong)
• Arithmetic of weighted diagonal surfaces over finite fields
• K3-FIBERED CALABI–YAU THREEFOLDS I: THE TWIST MAP
• K3-FIBERED CALABI–YAU THREEFOLDS II: SINGULAR FIBERS
• Introduction to Toric Varieties. (AM-131)

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