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 />

Bibliographic Details
Main Author: Jorge Cordovez
Format: Article
Language:English
Published: Università degli Studi di Catania 2002-05-01
Series:Le Matematiche
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/203