Fano hypersurfaces in weighted projective 4-spaces

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We determine the complete list of anticanonically embedded quasi smooth log Fano 3-folds in weighted projective 4-spaces. This implies that the Reid-Fletcher list of 95 types of anticanonically embedded quasi smooth terminal Fano threefolds in weighted projective 4-spaces is complete. We also prove that there are only finitely many families of quasi smooth Calabi-Yau hypersurfaces in weighted projective spaces of any given dimension.
11 pages, LaTeX

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Algebraic Geometry, 14J45 14Q10 (Primary) 32Q20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/59793

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0008189
 http://arxiv.org/abs/math/0008189

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arXiv