Details:
| Title | Chern numbers of smooth varieties via homotopy continuation and intersection theory | | Author(s) | David Eklund, Chris Peterson, Sandra Di Rocco, Andrew J. Sommese | | Type | Article in Journal | | 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. | | Keywords | Homotopy continuation, Numerical algebraic geometry, Polynomial system, Linear system, Linkage, Curve, Surface | | ISSN | 0747-7171 |
| URL |
http://www.sciencedirect.com/science/article/pii/S0747717110001148 |
| Language | English | | Journal | Journal of Symbolic Computation | | Volume | 46 | | Number | 1 | | Pages | 23 - 33 | | Year | 2011 | | Edition | 0 | | Translation |
No | | Refereed |
No |
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