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Zariski-Riemann space

Zariski-Riemann space noun: 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.

Noun

Zariski-Riemann space (plural Zariski-Riemann spaces)

  1. 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

Synonyms of Zariski-Riemann space

Forms of Zariski-Riemann space

pluralZariski-Riemann spaces

Origin of Zariski-Riemann space

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

Questions about Zariski-Riemann space

What does Zariski-Riemann space mean?
Zariski-Riemann space means 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.
What part of speech is Zariski-Riemann space?
Zariski-Riemann space is a noun.
What is the plural of Zariski-Riemann space?
The plural of Zariski-Riemann space is Zariski-Riemann spaces.

Words near Zariski-Riemann space in the dictionary

  1. Zariski
  2. Zariski space
  3. Zariski spaces
  4. Zariski topologies
  5. Zariski topology
  6. Zariski-Riemann space
  7. Zariski-Riemann spaces
  8. Zariskian
  9. Zariyah
  10. Zarjeh Bostan
  11. zark

Source and license

Adapted from Wiktionary: Zariski-Riemann space (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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