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We classify the endomorphism algebras of factors of the Jacobian of certainhypergeometric curves over a field of characteristic zero. Other than a fewexceptional cases, the endomorphism algebras turn out to be either a cyclotomicfield $E=\mathbb{Q}(\zeta_q)$, or a quadratic extension of $E$, or $E\oplus E$.This result may be viewed as a generalization of the well known results of theclassification of endomorphism algebras of elliptic curves over $\mathbb{C}$.

Endomorphism algebras of factors of certain hypergeometric Jacobians