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 |
|