Entropy of radical ideal of a tropical prevariety
Algebraic Geometry
2020-12-01 v2
Abstract
The entropy of a tropical ideal is introduced. The radical of a tropical ideal consists of all tropical polynomials vanishing on the tropical prevariety determined by the ideal. We prove that the entropy of the radical of a tropical bivariate polynomial with vanishing coefficients equals zero. Also we prove that the entropy of a zero-dimensional tropical prevariety vanishes. An example of a non-radical tropical ideal having a positive entropy is exhibited.
Keywords
Cite
@article{arxiv.2007.06195,
title = {Entropy of radical ideal of a tropical prevariety},
author = {Dima Grigoriev},
journal= {arXiv preprint arXiv:2007.06195},
year = {2020}
}