正则奇异微分方程和自由原代数群

IF 0.8 3区数学 Q2 MATHEMATICS Bulletin of the London Mathematical Society Pub Date : 2024-05-17 DOI:10.1112/blms.13072

Michael Wibmer

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摘要

我们确定了黎曼球上所有正则奇异微分方程族的微分伽罗瓦群。它是卡集 | C | $|\mathbb {C}|$ 上的自由原代数群。

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Regular singular differential equations and free proalgebraic groups

We determine the differential Galois group of the family of all regular singular differential equations on the Riemann sphere. It is the free proalgebraic group on a set of cardinality $| C |$ .

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