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math.AG2000
Fano hypersurfaces in weighted projective 4-spaces
Jennifer M. Johnson, János Kollár
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 an…
math.AG2000
Unirationality of cubic hypersurfaces
János Kollár
Segre proved that a smooth cubic surface over Q is unirational iff it has a rational point. We prove that the result also holds for cubic hypersurfaces over any field, including fi…