Irreducible components of Toric Complete Intersections
Algebraic Geometry
2025-08-04 v1
Abstract
An equivariant linear system on a toric variety is a linear system invariant under the torus action. We study the number of irreducible components of the complete intersection of general divisors from a fixed collection of equivariant linear system on a toric variety . An explicit formula for the number of components was obtained by Khovanskii in 2016 for the case over and generalized to an algebraically closed field of arbitrary characteristic the author in 2024. Building on these results, we give a recursive formula for an arbitrary toric variety.
Cite
@article{arxiv.2508.00745,
title = {Irreducible components of Toric Complete Intersections},
author = {Andrey Zhizhin},
journal= {arXiv preprint arXiv:2508.00745},
year = {2025}
}