Segre Classes on Smooth Projective Toric Varieties

TL;DR

This paper extends an existing algorithm to compute Segre classes from projective space to smooth projective toric varieties, broadening the scope of computational algebraic geometry tools.

Contribution

It generalizes the algorithm of Eklund-Jost-Peterson for Segre class computation to smooth projective toric varieties, enabling broader applications.

Findings

Algorithm successfully generalized to toric varieties

Efficient computation of Segre classes in new settings

Potential applications in algebraic geometry

Abstract

We provide a generalization of the algorithm of Eklund-Jost-Peterson for computing Segre classes of closed subschemes of projective k-space. The algorithm is here generalized to computing the Segre classes of closed subschemes of smooth projective toric varieties.