The tropical j-invariant

From CRCG-Wiki

Many interesting properties of algebraic varieties are preserved under the process of tropicalisation. During the talk we will focus on one such property. If we start on the algebraic side with a smooth elliptic curve, i.e. a curve of genus one, then under good circumstances the tropicalisation will be a piecewise linear graph with precisely one loop, i.e. the graph will have genus one. It turns out that the length of this loop is related to the j-invariant of the elliptic curve.