Linear Systems of Plane Curves with a Composite Number of Base Points of Equal Multiplicity
Algebraic Geometry
2007-05-23 v1
Abstract
We extend the range of linear systems of plane curves for which it is known that the dimension is equal to the expected dimension. We use a degeneration technique due to C. Ciliberto and R. Miranda. From our result we deduce, as a Corollary, a theorem due to Evain on homogeneous systems of curves through a number of base points given by a power of 4.
Keywords
Cite
@article{arxiv.math/0205302,
title = {Linear Systems of Plane Curves with a Composite Number of Base Points of Equal Multiplicity},
author = {A. Buckley and M. Zompatori},
journal= {arXiv preprint arXiv:math/0205302},
year = {2007}
}
Comments
15 pages