A method to compute Segre classes of subschemes of projective space

Abstract

We present a method to compute the degrees of the Segre classes of a subscheme of complex projective space. The method is based on generic residuation and intersection theory. It has been implemented using the software system Macaulay2.

13 pages

References in corpus (3)

• The maximum likelihood degree of a very affine variety
• Computing characteristic classes of projective schemes
• An Algorithm to Compute the Topological Euler Characteristic, Chern-Schwartz-MacPherson Class and Segre Class of Projective Varieties

Cited by in corpus (6)

• Scattering Equations: From Projective Spaces to Tropical Grassmannians
• A Macaulay2 package for computations with rational maps
• The Euclidean distance degree of smooth complex projective varieties
• The Chern-Schwartz-MacPherson class of an embeddable scheme
• Segre classes and invariants of singular varieties
• An algorithmic approach to Chevalley's Theorem on images of rational morphisms between affine varieties