Amoeba measures of random complex plane curves

Abstract: I will estimate the asymptotic behavior of the expected measure of the amoeba of complex plane curves. Given a collection of complex bidisks of size inverse to the square root of the degree, it involves a lower estimate of the probability that one of these bidisk be a submanifold chart of a complex plane curve. This is a joint work with Ali Ulaş Özgür Kişisel.

algebraic geometry

Audience: researchers in the discipline

ODTU-Bilkent Algebraic Geometry Seminars