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.

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Zariski space
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Meanings

nounZariski-Riemann space (plural Zariski-Riemann spaces)

plural Zariski-Riemann spaces

  1. algebraic geometryA 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 & antonyms

nounA 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.

Similar
Zariski space

Origin

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

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Cite this entry
APA

Zariski-Riemann space. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Zariski-Riemann%20space

MLA

“Zariski-Riemann space.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Zariski-Riemann%20space. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Zariski-Riemann space,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Zariski-Riemann%20space.

Source: Zariski-Riemann space on Wiktionary, CC BY-SA 4.0.