Krull-Tropical Hypersurfaces
Copyright policy )Krull-Tropical Hypersurfaces
The concepts of tropical semiring and tropical hypersurface, are extended to the case of 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.
- Paul Sabatier University France
tropical hypersurfaces, Mathematics - Algebraic Geometry, Tropical geometry, FOS: Mathematics, Kapranov's theorem, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Algebraic Geometry (math.AG), valuations
tropical hypersurfaces, Mathematics - Algebraic Geometry, Tropical geometry, FOS: Mathematics, Kapranov's theorem, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Algebraic Geometry (math.AG), valuations
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).7 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!