Asymptotically cylindrical Calabi-Yau 3-folds from weak Fano 3-folds

DOI10.2140/gt.2013.17.1955zbMath1273.14081arXiv1206.2277OpenAlexW3102926571WikidataQ125119159 ScholiaQ125119159MaRDI QIDQ357733

Alessio Corti, Tommaso Pacini, Johannes Nordström, Mark Haskins

Publication date: 13 August 2013

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2277

zbMATH Keywords

differential geometrynoncompact Calabi-Yau manifoldscompact \(G_{2}\)-manifoldsEinstein and Ricci-flat manifoldsFano and weak Fano varietieslattice polarised K3 surfacesspecial and exceptional holonomy

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) (K3) surfaces and Enriques surfaces (14J28) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) (3)-folds (14J30) Fano varieties (14J45) Issues of holonomy in differential geometry (53C29)

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Uses Software

• TOPCOM
• Graded Ring Database

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