Hypergeometric local systems and parabolic bundles

Abstract

Beukers and Heckman gave necessary and sufficient conditions for a hypergeometric function ${}_n{F}_{n-1}$ to be algebraic. We give a new proof of this theorem by passing through the Mehta-Seshadri correspondence. In particular, we explicitly write down the parabolic bundle corresponding to a unitary hypergeometric local system.

arXiv comment9 pages. Lemma 4.4 in the previous version is incorrect; we avoid this by giving a different argument. The main theorems are unchanged