Geometry of planar log-fronts
Algebraic Geometry
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
The log-front of two plane curves P(z,w)=0 and Q(z,w)=0 is the locus of (a,b) such that Q(az,bw)=0 is tangent to P(z,w)=0. Log-fronts generalize dual curves, wave fronts, and arise naturally in the theory of random surfaces. Our goal in this paper is to prove analogs of Plucker and Klein formulas for log-fronts.
Cite
@article{arxiv.math/0608018,
title = {Geometry of planar log-fronts},
author = {Grigory Mikhalkin and Andrei Okounkov},
journal= {arXiv preprint arXiv:math/0608018},
year = {2007}
}
Comments
Dedicated to Askold Khovanskii on the occasion of his 60th birthday