On Kummer 3-folds

DOI10.1007/s13163-010-0049-0zbMath1237.14048arXiv0812.3758OpenAlexW1970259072MaRDI QIDQ644556

Maria Donten-Bury

Publication date: 4 November 2011

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.3758

zbMATH Keywords

quotient singularityCalabi-Yau varietyintegral matrix groupsKummer constructionvirtual Poincaré polynomial

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Integral representations of finite groups (20C10) (3)-folds (14J30) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Related Items (4)

Hashing to elliptic curves of \(j\)-invariant 1728 ⋮ On the Kummer construction ⋮ COX RINGS OF MINIMAL RESOLUTIONS OF SURFACE QUOTIENT SINGULARITIES ⋮ The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds

Uses Software

• GAP
• CARAT

Cites Work

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• Non-abelian singularity quotients of dimension 3 and varieties of Calabi-Yau
• McKay correspondence for symplectic quotient singularities.
• On the Kummer construction
• Introduction to Toric Varieties. (AM-131)
• Crystallographic Algorithms and Tables
• On the Finite Subgroups of GL (3, Z)

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