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  07477171 
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 
