Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4597726 | Journal of Pure and Applied Algebra | 2007 | 11 Pages |
Abstract
Given a set of points in P2, we consider the common zeros of the set of curves of a given degree passing through those points. For general sets of points, these zero sets have the expected dimension and are smooth. In fact, given graded Betti numbers, for any arrangement of points whose ideal has those graded Betti numbers, general among such arrangements, the zero sets have the expected dimension and are smooth.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Zachariah C. Teitler,