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

Picard-Vessiot groups of Lauricella's hypergeometric systems EC and Calabi-Yau varieties arising integral representations
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Lauricella 超几何系统 EC 和 Calabi-Yau 变体的 Picard-Vessiot 群产生积分表示

DOI:
10.1112/jlms.12311
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发表时间:
2020
期刊:
Journal of the London Mathematical Society
影响因子:
--
通讯作者:
Koike Kenji
Koike Kenji
中科院分区:
--
文献类型:
--
作者:
Goto Yoshiaki;Koike Kenji

文献摘要

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本文研究了Lauricella超几何函数的单值群的Zapriki闭包。若单位分量作用不可约,则必为经典群之一。我们还研究了卡-丘簇所产生的积分表示。
We study the Zariski closure of the monodromy groupof Lauricella's hypergeometric function. If the identity componentacts irreducibly, thenmust be one of classical groupsand. We also study Calabi–Yau varieties arising from integral representations of.