Monodromy of the hypergeometric equation

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The local monodromy around each singular point has eigenvalues $e^{2\pi i \rho}$, where $\rho$ runs over the two exponents at that point. The monodromy is irreducible exactly when none of $a$, $b$, $c - a$, $c - b$ is an integer. In the irreducible case, the representation is determined up to conjugacy by the three pairs of local eigenvalues, a fact known as rigidity. Finite monodromy groups give algebraic solutions, and these are classified by Schwarz's list.