Hyperfields for Tropical Geometry I. Hyperfields and dequantization

Details Hyperfields for Tropical Geometry I. Hyperfields and dequantization Hyperfields for Tropical Geometry I. Hyperfields and dequantization

2010-06-15

arxiv.org/abs/1006.3034v2

Mathematics

Algebraic Geometry

47 pages, 5 figures, the previous version has been radically changed in order to add new references and correct terminology

Scientific paper

New hyperfields, that is fields in which addition is multivalued, are introduced and studied. In a separate paper these hyperfields are shown to provide a base for the tropical geometry. The main hyperfields considered here are classical number sets, such as the set of complex numbers, the set of real numbers, and the set of real non-negative numbers, with the usual multiplications, but new, multivalued additions. The new hyperfields are related with the classical fields and each other by dequantisations. For example, the new complex tropical field is a dequantization of the field of complex numbers.

Affiliated with

Also associated with

No associations

Rating

Hyperfields for Tropical Geometry I. Hyperfields and dequantization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hyperfields for Tropical Geometry I. Hyperfields and dequantization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hyperfields for Tropical Geometry I. Hyperfields and dequantization will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-105358