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arXiv · 2004.08258

Initial forms and a notion of basis for tropical differential equations

Alex Fink·Zeinab Toghani
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Abstract

We show that solution sets of systems of tropical differential equations can be characterised in terms of monomial-freeness of an initial ideal. We discuss a candidate definition of tropical differential basis and give a nonexistence result for such bases in an example.

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Alex Fink, Zeinab Toghani. 2020-04-17. Initial forms and a notion of basis for tropical differential equations. https://doi.org/10.2140/pjm.2022.318.453

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