2006/11/11 by Joshua P. Mullet, Mullet, Joshua P.
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #math.AG
paper · pdf · doi:10.48550/arxiv.math/0611338
arxiv created 2006/11/11 · openalex publication_date 2006/11/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In 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.