Article ID Journal Published Year Pages File Type
4597726 Journal of Pure and Applied Algebra 2007 11 Pages PDF
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
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