The second dual variety of rational conic bundles

  • Elena Chierici
Keywords: Surface (complex, projective), Higher order duality, Birational maps

Abstract

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.
Published
2004-02-01
Section
Articoli