On the postulation of lines and a fat line
Algebraic Geometry
2017-06-09 v1 Commutative Algebra
Abstract
In this note we show that the union of general lines and one fat line in imposes independent conditions on forms of sufficiently high degree , where the bound on is independent of the number of lines. This extends former results of Hartshorne and Hirschowitz on unions of general lines, and of Aladpoosh on unions of general lines and one double line.
Cite
@article{arxiv.1706.02350,
title = {On the postulation of lines and a fat line},
author = {Thomas Bauer and Sandra Di Rocco and David Schmitz and Tomasz Szemberg and Justyna Szpond},
journal= {arXiv preprint arXiv:1706.02350},
year = {2017}
}
Comments
14 pages