Singular locus of rational ruled surfaces
代数几何
2007-05-23 v2
摘要
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.
引用
@article{arxiv.math/0101083,
title = {Singular locus of rational ruled surfaces},
author = {Nicolas Perrin},
journal= {arXiv preprint arXiv:math/0101083},
year = {2007}
}
备注
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