FIBER PRODUCTS OF ELLIPTIC SURFACES WITH SECTION AND ASSOCIATED KUMMER FIBRATIONS

DOI10.1142/S0129167X09005339zbMath1170.14028arXiv0802.3760OpenAlexW2963240448MaRDI QIDQ3632270

Michał Kapustka, Grzegorz Kapustka

Publication date: 23 June 2009

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

Full work available at URL: https://arxiv.org/abs/0802.3760

zbMATH Keywords

deformationCalabi-Yau threefoldfiber product

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27)

Related Items (6)

Calabi-Yau 3-folds from projective joins of del Pezzo manifolds ⋮ Correspondences between modular Calabi-Yau fiber products ⋮ Symmetric locally free resolutions and rationality problems ⋮ Non-liftable Calabi-Yau spaces ⋮ K3 fibrations on rigid double octic Calabi–Yau threefolds ⋮ Atomic classification of 6D SCFTs

Uses Software

• SINGULAR

Cites Work

• Unnamed Item
• Configurations of Kodaira fibers on rational elliptic surfaces
• Persson's list of singular fibers for a rational elliptic surface
• On fiber products of rational elliptic surfaces with section
• On extremal rational elliptic surfaces
• The Kähler cone on Calabi-Yau threefolds
• Elliptic surfaces with four singular fibres
• Calabi-Yau manifolds with large Picard number
• Erratum: The Kähler cone on Calabi-Yau threefolds
• The existence of elliptic fibre space structures on Calabi-Yau threefolds
• Double coverings of octic arrangements with isolated singularities
• Cohomologies of a double covering of a non-singular algebraic 3-fold
• On crepant resolution of some hypersurface singularities and a criterion for UFD
• Towards Birational Classification of Algebraic Varieties
• Flops
• Lifting of cohomology and unobstructedness of certain holomorphic maps
• Classification of Three-Dimensional Flips
• Elliptic ruled surfaces on Calabi–Yau threefolds
• The existence of elliptic fibre space structures on Calabi–Yau threefolds, II
• On the computation of the cycle class map for nullhomologous cycles over the algebraic closure of a finite field
• Infinitesimal deformations of double covers of smooth algebraic varieties
• On the finiteness of fiber-space structures on a Calabi-Yau 3-fold

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