Classifier Instance:

Anchor text: Riemann surface
Target Entity: Riemann_surface
Preceding Context: On a non-compact
Succeeding Context: every meromorphic function can be realized as a quotient of two (globally defined) holomorphic functions. In contrast, on a compact Riemann surface every holomorphic function is constant, while there always exist non-constant meromorphic functions.
Paragraph Title: Meromorphic functions on Riemann surfaces
Source Page: Meromorphic function

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