Zariski's connectedness theorem

theorem that, for a proper surjective morphism of varieties such that the function field of the codomain is separably closed in that of the domain, the preimage of any normal point is connected
Intangible theorem Q17080564
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Zariski's connectedness theorem

Summary

Zariski's connectedness theorem is a theorem[1]. It draws 5 Wikipedia views per month (theorem category, ranking #275 of 1,306).[2]

Key Facts

  • Zariski's connectedness theorem's instance of is recorded as theorem[3].
  • Oscar Zariski is named after Zariski's connectedness theorem[4].
  • Zariski's connectedness theorem's part of is recorded as list of theorems[5].
  • Zariski's connectedness theorem's Freebase ID is recorded as /m/0wkp9c9[6].
  • Zariski's connectedness theorem's maintained by WikiProject is recorded as WikiProject Mathematics[7].

Why It Matters

Zariski's connectedness theorem draws 5 Wikipedia views per month (theorem category, ranking #275 of 1,306).[2]

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Zariski's connectedness theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/zariski-s-connectedness-theorem
MLA “Zariski's connectedness theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/zariski-s-connectedness-theorem.
BibTeX @misc{4ortxyz_zariski-s-connectedness-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Zariski's connectedness theorem}}, year = {2026}, url = {https://4ort.xyz/entity/zariski-s-connectedness-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Zariski's connectedness theorem — https://4ort.xyz/entity/zariski-s-connectedness-theorem (retrieved 2026-05-03)

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