2020
DOI: 10.1112/jlms.12311
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Picard–Vessiot groups of Lauricella's hypergeometric systems EC and Calabi–Yau varieties arising integral representations

Abstract: We study the Zariski closure of the monodromy group Mon of Lauricella's hypergeometric function FC . If the identity component Mon 0 acts irreducibly, then Mon ∩ SL2n (C) must be one of classical groups SL2n (C), SO2n (C) and Sp 2 n (C). We also study Calabi-Yau varieties arising from integral representations of FC .

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“…For more (mathematically rigorous) studies of the Lauricella system see also refs. [240,[246][247][248].…”
Section: Discussionmentioning
confidence: 99%
“…For more (mathematically rigorous) studies of the Lauricella system see also refs. [240,[246][247][248].…”
Section: Discussionmentioning
confidence: 99%