The second dual variety of rational conic bundles

The second dual variety of a Segre-Hirzebruch surface linearly normally embedded in a projective space as a 2-regular rational conic bundle is studied by relating it to the classical dual variety of another linearly normal embedding of the underlying surface. These varieties are shown to be biration...

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Bibliographic Details
Main Author: Elena Chierici
Format: Article
Language:English
Published: Università degli Studi di Catania 2002-05-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/200
Description
Summary:The second dual variety of a Segre-Hirzebruch surface linearly normally embedded in a projective space as a 2-regular rational conic bundle is studied by relating it to the classical dual variety of another linearly normal embedding of the underlying surface. These varieties are shown to be birational, and an upper bound on the dimensions of their singular loci is given.<br />
ISSN:0373-3505
2037-5298