Zariski-Riemann space

English

Etymology

Named by Nagata (1962) after Oscar Zariski and Bernhard Riemann.

Noun

Zariski-Riemann space (plural Zariski-Riemann spaces)

1. (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