On toric Calabi-Yau hypersurfaces fibered by weighted K3 hypersurfaces

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dc.creatorMullet, Joshua P.
dc.date2006-11-11
dc.date.accessioned2026-07-07T07:32:47Z
dc.date.available2026-07-07T07:32:47Z
dc.descriptionIn response to a question of Reid, we find all anti-canonical Calabi-Yau hypersurfaces $X$ in toric weighted projective bundles over the projective line where the general fiber is a weighted K3 hypersurface. This gives a direct generalization of Reid's discovery of the 95 families of weighted K3 hypersurfaces. We also treat the case where $X$ is fibered over the plane with general fiber a genus one curve in a weighted projective plane.
dc.identifierhttps://arxiv.org/abs/math/0611338
dc.identifierhttp://arxiv.org/abs/math/0611338
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119234
dc.subjectAlgebraic Geometry
dc.titleOn toric Calabi-Yau hypersurfaces fibered by weighted K3 hypersurfaces
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