The base components of the dualizing sheaf of a curve on a surface
Algebraic Geometry
2007-10-25 v1
Abstract
This note studies the structure of the divisorial fixed part of the dualizing sheaf of a 1-connected curve D on a smooth surface S. It is shown that if the divisorial fixed part F of the dualizing sheaf is non empty then it has arithmetic genus<1 and each component of F is a smooth rational curve.
Keywords
Cite
@article{arxiv.0710.4395,
title = {The base components of the dualizing sheaf of a curve on a surface},
author = {Kazuhiro Konno and Margarida Mendes Lopes},
journal= {arXiv preprint arXiv:0710.4395},
year = {2007}
}
Comments
7pp., to appear in Archive der Mathematik