Limit linear systems and applications
Algebraic Geometry
2009-06-12 v3
Abstract
A system of plane curves defined by prescribing n points of multiplicity m in general position is regular if n > (2m)^2. The proof uses computation of limits of linear systems acquiring fixed divisors, an interesting problem in itself.
Cite
@article{arxiv.math/0602213,
title = {Limit linear systems and applications},
author = {Joaquim Roe},
journal= {arXiv preprint arXiv:math/0602213},
year = {2009}
}
Comments
35 pages, 5 figures; thoroughly rewritten: more focused on applications, less on techique, shorter preprint