Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

In tropical geometry, is there a notion of volume. Maybe one with some of the properties as found in classical convex geometry? If so, is there a good reference that elaborates on this question.

I found this question here, but apparently the answers did not consider volume.

share|improve this question
add comment

1 Answer

I think a certain generalization of volume in tropical geometry is given by Monge-Ampere measure. See http://www2.math.su.se/reports/2000/10/2000-10.pdf (M. Passare and H. Rullgard, Amoebas, Monge-Ampere measures, and triangulations of the Newton polytope) and http://arxiv.org/abs/1008.2856 (A. Lagerberg, Super currents and tropical geometry).

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.