Irreducibility of the Picard-Fuchs equation related to the Lotka-Volterra polynomial $x^2{y}^2(1-x-y)$

Abstract

We prove that the Zarisky closure of the monodromy group of the polynomial $x^2{y}^2(1-x-y)$ is the symplectic group $Sp(4,\mathbb{C})$. This shows that some previous results about this monodromy representation are wrong.

arXiv commentA few typos were corrected