Singular locus of rational ruled surfaces

Details Singular locus of rational ruled surfaces Singular locus of rational ruled surfaces

2001-01-10

arxiv.org/abs/math/0101083v2

Mathematics

Algebraic Geometry

In french, 25 pages. Many improvements in the proofs. New results included : the study of GIT properties of the morphism and t

Scientific paper

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.

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