Irreducibility of the Picard-Fuchs equation related to the Lotka-Volterra polynomial x² y²(1-x-y)
classification
🧮 math.DS
keywords
groupmonodromypolynomialclosureequationirreducibilitylotka-volterramathbb
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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.
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