Canonical Geometrically Ruled Surfaces
代数几何
2007-05-23 v4
摘要
We prove the existence of canonical scrolls; that is, scrolls playing the role of canonical curves. First of all, they provide the geometrical version of Riemann Roch Teorem: any special scroll is the projection of a canonical scroll and they allow to understand the classification of special scrolls in P3. Canonical scrolls correspond to the projective model of canonical geometrically ruled surfaces over a smooth curve. We also prove that the generic canonical scroll is projectively normal except in the hyperelliptic case and for very particular cases in the nonhyperelliptic situation.
引用
@article{arxiv.math/0107114,
title = {Canonical Geometrically Ruled Surfaces},
author = {Luis Fuentes Garcia and Manuel Pedreira Perez},
journal= {arXiv preprint arXiv:math/0107114},
year = {2007}
}
备注
Latex2.09; 32 pages