Name
Abstract | ||
|---|---|---|
Let Z denote a finite collection of reduced points in projective n-space and let I denote the homogeneous ideal of Z. The points in Z are said to be in (i,j)-uniform position if every cardinality i subset of Z imposes the same number of conditions on forms of degree j. The points are in uniform position if they are in (i,j)-uniform position for all values of i and j. We present a symbolic algorithm that, given I, can be used to determine whether the points in Z are in (i,j)-uniform position. In addition it can be used to determine whether the points in Z are in uniform position, in linearly general position and in general position. The algorithm uses the Chow form of various d-uple embeddings of Z and derivatives of these forms. The existence of the algorithm provides an answer to a question of Kreuzer. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1016/j.jsc.2003.10.001 | J. Symb. Comput. |
Keywords | DocType | Volume |
symbolic algorithm,Chow variety,General position,finite collection,uniform position,Z denote,general position,projective n-space,Points,symbolic test,Zero-dimensional scheme,degree j,linearly general position,Chow form,Uniform position,reduced zero-dimensional scheme,homogeneous ideal | Journal | 37 |
Issue | ISSN | Citations |
3 | Journal of Symbolic Computation | 1 |
PageRank | References | Authors |
0.48 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Juan Migliore | 1 | 1 | 0.48 |
| Chris Peterson | 2 | 68 | 10.93 |