Chern numbers of smooth varieties via homotopy continuation and intersection theory
2011 (English)In: Journal of symbolic computation, ISSN 0747-7171, E-ISSN 1095-855X, Vol. 46, no 1, 23-33 p.Article in journal (Refereed) Published
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 Pn. We illustrate the approach through several worked examples.
Place, publisher, year, edition, pages
2011. Vol. 46, no 1, 23-33 p.
Homotopy continuation, Numerical algebraic geometry, Polynomial system, Linear system, Linkage, Curve, Surface
IdentifiersURN: urn:nbn:se:kth:diva-26106DOI: 10.1016/j.jsc.2010.06.026ISI: 000284391300002ScopusID: 2-s2.0-77958151034OAI: oai:DiVA.org:kth-26106DiVA: diva2:370124
FunderSwedish Research Council, NT:2006-3539Knut and Alice Wallenberg Foundation
QC 201011152010-11-152010-11-152010-12-14Bibliographically approved