Name
Abstract | ||
|---|---|---|
Homotopy continuation provides a numerical tool for computing the equivalence of a smooth variety in an intersection product. Intersection theory provides a theoretical tool for relating the equivalence of a smooth variety in an intersection product to the degrees of the Chern classes of the variety. A combination of these tools leads to a numerical method for computing the degrees of Chern classes of smooth projective varieties in P^n. We illustrate the approach through several worked examples. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.jsc.2010.06.026 | J. Symb. Comput. |
Keywords | DocType | Volume |
curve,numerical algebraic geometry,Chern number,intersection product,smooth projective variety,linkage,surface.,Numerical algebraic geometry,numerical tool,Linkage,homotopy continuation,Homotopy continuation,polynomial system,Chern class,numerical method,. homotopy continuation,Polynomial system,Curve,linear system,Linear system,Surface,smooth variety,intersection theory,theoretical tool | Journal | 46 |
Issue | ISSN | Citations |
1 | Journal of Symbolic Computation | 3 |
PageRank | References | Authors |
0.66 | 15 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sandra Di Rocco | 1 | 15 | 3.68 |
| David Eklund | 2 | 11 | 2.94 |
| Chris Peterson | 3 | 68 | 10.93 |
| Andrew J. Sommese | 4 | 412 | 39.68 |