Toricity of vertically parametrized systems with applications to reaction network theory

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Abstract

In this paper, we present new necessary conditions and sufficient conditions for the (positive parts of) the varieties of vertically parametrized systems to admit monomial parametrizations. The conditions are based on a combination of polyhedral geometry and previously known results about injectivity of monomial maps. The motivation arises from the study of steady state varieties of reaction networks, as toricity simplifies the determination of multistationarity substantially.
OriginalsprogEngelsk
StatusUdgivet - 22 nov. 2024

Bibliografisk note

28 pages, 3 figures. Improvements in the exposition. Comments welcome!

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