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Fano hypersurfaces in weighted projective 4-spaces

Jennifer M. Johnson·János Kollár
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Abstract

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.

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Jennifer M. Johnson, János Kollár. 2000-08-24. Fano hypersurfaces in weighted projective 4-spaces. https://arxiv.org/abs/math/0008189

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