Families of lines in Fano varieties complete intersection in a Grassmannian
In this paper we determine all Fano varieties which are complete intersections of hypersurfaces in a Grassmannian. Then, in the case Fano's conjecture is satisfied, we give a formula in order to compute the dimension of the Hilbert scheme that parametrises their lines.<br />
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2002-05-01
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| Series: | Le Matematiche |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/203 |
| Summary: | In this paper we determine all Fano varieties which are complete intersections of hypersurfaces in a Grassmannian. Then, in the case Fano's conjecture is satisfied, we give a formula in order to compute the dimension of the Hilbert scheme that parametrises their lines.<br /> |
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| ISSN: | 0373-3505 2037-5298 |