Amoebas, Ronkin function and Monge-Amp\`ere measures of algebraic curves with marked points
Algebraic Geometry
2013-11-01 v1 Mathematical Physics
math.MP
Abstract
A generalization of the amoeba and the Ronkin function of a plane algebraic curve for a pair of harmonic functions on an algebraic curve with punctures is proposed. Extremal properties of -curves are proved and connected with the spectral theory of difference operators with positive coefficients.
Keywords
Cite
@article{arxiv.1310.8472,
title = {Amoebas, Ronkin function and Monge-Amp\`ere measures of algebraic curves with marked points},
author = {I. Krichever},
journal= {arXiv preprint arXiv:1310.8472},
year = {2013}
}
Comments
Latex, 15 pages