Singular locus of rational ruled surfaces
Abstract
We prove that the morphism that maps a rational ruled surface to its singular locus is genericaly injective modulo isomophism and duality. We also calculate the dimension and the degre of its image.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 January 2001
 arXiv:
 arXiv:math/0101083
 Bibcode:
 2001math......1083P
 Keywords:

 Mathematics  Algebraic Geometry;
 14J26;
 14F05;
 14N05
 EPrint:
 In french, 25 pages. Many improvements in the proofs. New results included : the study of GIT properties of the morphism and the study of the singular locus of the image. We prove that the image is rational