Geometry of planar log-fronts

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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.
Dedicated to Askold Khovanskii on the occasion of his 60th birthday

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Algebraic Geometry, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/115237

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608018
 http://arxiv.org/abs/math/0608018

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arXiv