Krull-tropical hypersurfaces
Algebraic Geometry
2009-04-01 v2 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.0903.5375,
title = {Krull-tropical hypersurfaces},
author = {Fuensanta Aroca},
journal= {arXiv preprint arXiv:0903.5375},
year = {2009}
}
Comments
12 pages