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arXiv · 2306.10589

Positivity of tropical multidegrees

Xiang He
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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.

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Xiang He. 2024-05-23. Positivity of tropical multidegrees. https://arxiv.org/abs/2306.10589

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