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arXiv · 0903.5375

Krull-tropical hypersurfaces

Fuensanta Aroca
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Abstract

The concepts of tropical-semiring and tropical hypersurface, are extended for an arbitrary ordered group. Then, we define the tropicalization of a polynomial with coefficients in a Krull-valued field. After a close study of the properties of the operator "tropicalization" we conclude with an extension of Kapranov's theorem to algebraically closed fields together with a valuation over an ordered group.

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Fuensanta Aroca. 2009-03-31. Krull-tropical hypersurfaces. https://arxiv.org/abs/0903.5375

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