Picard-Vessiot groups of Lauricella's hypergeometric systems $E_C$ and Calabi-Yau varieties arising integral representations

Yoshiaki Goto, Kenji Koike

We study the Zariski closure of the monodromy group $\mathbf{Mon}$ of Lauricella's hypergeometric function $F_C$. If the identity component ${\mathbf{Mon}}^0$ acts irreducibly, then…