Abelian surfaces with two plane cubic curve fibrations and Calabi-Yau threefolds

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dc.creatorHulek, Klaus
dc.creatorRanestad, Kristian
dc.date1998-10-19
dc.date.accessioned2026-07-07T05:26:32Z
dc.date.available2026-07-07T05:26:32Z
dc.description(1,d)-polarized abelian surfaces in P^(d-1) with two plane cubic curve fibrations lie in two elliptic P^2-scrolls. The union of these scrolls form a reducible Calabi-Yau 3-fold. In this paper we show that this occurs when d<10 and analyse the family of such surfaces and 3-folds in detail when d=6. In particular, the reducible Calabi-Yau 3-folds deform in that case to irreducible ones with non-normal singularities.
dc.description41 pages
dc.identifierhttps://arxiv.org/abs/math/9810120
dc.identifierhttp://arxiv.org/abs/math/9810120
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77584
dc.subjectAlgebraic Geometry
dc.subject14K10 (Primary) 14J32 (Secondary)
dc.titleAbelian surfaces with two plane cubic curve fibrations and Calabi-Yau threefolds
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