Picard–Lefschetz theory

the study of the topology of a complex manifold by looking at the critical points of a holomorphic function on the manifold
Intangible theory Q7190517
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Picard–Lefschetz theory

Summary

Picard–Lefschetz theory is a theory[1]. It draws 177 Wikipedia views per month (theory category, ranking #79 of 323).[2]

Key Facts

  • Picard–Lefschetz theory is credited with the discovery of Charles Émile Picard[3].
  • Picard–Lefschetz theory is credited with the discovery of Solomon Lefschetz[4].
  • Picard–Lefschetz theory's instance of is recorded as theory[5].
  • Charles Émile Picard is named after Picard–Lefschetz theory[6].
  • Solomon Lefschetz is named after Picard–Lefschetz theory[7].
  • Picard–Lefschetz theory is part of mathematics[8].

Body

Definition and Type

Picard–Lefschetz theory's instance of is recorded as theory[5].

Origins

Things named after include Charles Émile Picard[6], a mathematician[9], 1856–1941[10], of France[11], awarded the Grand Cross of the Legion of Honour[12], specialised in mathematical analysis[13] and Solomon Lefschetz[7], a mathematician[14], 1884–1972[15], of United States[16], awarded the National Medal of Science[17], specialised in algebraic topology[18].

Use and Application

Picard–Lefschetz theory is part of mathematics[8].

Why It Matters

Picard–Lefschetz theory draws 177 Wikipedia views per month (theory category, ranking #79 of 323).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[19] It is known by 10 alternative names across languages and contexts.[20]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [5] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.

Inline context (facts about related entities)

  1. [9] . Wikidata. wikidata.org. → on this site
  2. [10] . Wikidata. wikidata.org. → on this site
  3. [11] . Wikidata. wikidata.org. → on this site
  4. [12] . Wikidata. wikidata.org. → on this site
  5. [13] . Wikidata. wikidata.org. → on this site
  6. [14] . Wikidata. wikidata.org. → on this site
  7. [15] . Wikidata. wikidata.org. → on this site
  8. [16] . Wikidata. wikidata.org. → on this site
  9. [17] . Wikidata. wikidata.org. → on this site
  10. [18] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [19] . Wikidata sitelinks. wikidata.org.
  3. [20] . Wikidata aliases. wikidata.org.

📑 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). Picard–Lefschetz theory. Retrieved May 3, 2026, from https://4ort.xyz/entity/picard-lefschetz-theory
MLA “Picard–Lefschetz theory.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/picard-lefschetz-theory.
BibTeX @misc{4ortxyz_picard-lefschetz-theory_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Picard–Lefschetz theory}}, year = {2026}, url = {https://4ort.xyz/entity/picard-lefschetz-theory}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Picard–Lefschetz theory — https://4ort.xyz/entity/picard-lefschetz-theory (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 7d ago · Twofivesixbot bot · 2026-05-30 view diff on Wikidata ↗
    Aliases
    Discoverer or inventor Charles Émile Picard, Solomon Lefschetz
    Part of mathematics
    Named after
    + 4 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007539730505171, mv to monolingual text names on J9U statements"
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