Zariski-Riemann space

== English == === Etymology === Named by Nagata (1962) after Oscar Zariski and Bernhard Riemann. === Noun === Zariski-Riemann space (plural Zariski-Riemann spaces) (algebraic geometry) A locally ringed space of a subring k of a field K, whose points are valuation rings containing k and contained in K. They generalize the Riemann surface of a complex curve. ==== Synonyms ==== Zariski space