Positivity of tropical multidegrees
Algebraic Geometry
2024-05-24 v2
Abstract
We define the multidegrees of a tropical variety. We prove that the positivity of a multidegree of a certain tropical variety is governed by the dimensions of the images of the tropical variety under suitable projection maps. As an application, we give a tropical proof of the criterion of the positivity of the multidegrees of a closed subscheme of a multi-projective space, originally proved by Castillo et al.
Keywords
Cite
@article{arxiv.2306.10589,
title = {Positivity of tropical multidegrees},
author = {Xiang He},
journal= {arXiv preprint arXiv:2306.10589},
year = {2024}
}
Comments
Slight change of terminology. Final version, accepted to Selecta Mathematica