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.
arXiv Mathematics e-prints
- Pub Date:
- January 2001
- Mathematics - Algebraic Geometry;
- 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