We give a completely different, much shorter, proof of a substantial generalization of the main result from [Y. Kachi and E. Sato, Mem. Amer. Math. Soc. 160 (2002), no. 763, x+116 pp.; MR1938329 (2004g:14058)]. It states that embedded projective n-folds swept out by quadrics of dimension at least [n2]+2 are either scrolls or hyperquadric fibrations, which are also Mori contractions
On manifolds swept out by high dimensional quadrics
IONESCU, Paltin;
2008
Abstract
We give a completely different, much shorter, proof of a substantial generalization of the main result from [Y. Kachi and E. Sato, Mem. Amer. Math. Soc. 160 (2002), no. 763, x+116 pp.; MR1938329 (2004g:14058)]. It states that embedded projective n-folds swept out by quadrics of dimension at least [n2]+2 are either scrolls or hyperquadric fibrations, which are also Mori contractionsFile in questo prodotto:
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