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arXiv · 0909.2111

Chern Numbers of Smooth Varieties via Homotopy Continuation and Intersection Theory

Sandra Di Rocco·David Eklund·Chris Petersen·Andrew J. Sommese
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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.

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Sandra Di Rocco, David Eklund, Chris Petersen, Andrew J. Sommese. 2009-09-11. Chern Numbers of Smooth Varieties via Homotopy Continuation and Intersection Theory. https://arxiv.org/abs/0909.2111

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