| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 401740 | Journal of Symbolic Computation | 2007 | 15 Pages |
Abstract
The main goal of this paper is to present an algorithm bounding the dimension of a linear system of plane curves of given degree (or monomial basis) with multiple points in general position. As a result we prove the Harbourne–Hirschowitz conjecture when the multiplicities of base points are bounded by 11. This gives a partial answer to the question of when bivariate polynomial interpolation is possible.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
