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Picard group

mathematical group
Class type of: sheaf cohomology, scheme Q2042963

Facts

9 properties
Instance of
invariant
Subclass of
sheaf cohomology, scheme[3][4]
Different from
divisor class group[6]
Has part(s) of the class
Cartier divisor[10]
Maintained by WikiProject
WikiProject Mathematics[11]
Named after
Charles Émile Picard[2]
Opposite of
Albanese variety[5]
Studied by
category theory[9]
Uses
invertible sheaf, Cartier divisor[7][8]
🏷️ Also known as
en Picard scheme en Picard group en Picard variety de Picardgruppe el Ομάδα Πικάρ es grupo de Picard fr groupe de Picard ja ピカール函手 ja ピカール多様体 ja ピカール群 ja ピカール関手 ko 피카르 군 ru группа Пикара zh 皮卡德群
🔖 Identifiers · 9
Library of Congress Authorities ID
sh85101918
OpenAlex ID
C2777283802
Freebase ID
/m/060xc4
J9U entity ID
987007548401705171
MathWorld ID
PicardGroup
Microsoft Academic ID (discontinued)
2777283802
NLab ID
Picard group
PlanetMath ID
PicardGroup
Yale LUX ID
concept/e71eea84-955d-47fa-813f-de3a1234f976

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🔗 Connections
Subclass of 2
scheme, sheaf cohomology
Created notable works 1
Charles Émile Picard
Instance of 1
invariant
Maintained by WikiProject 1
WikiProject Mathematics
Named after 1
Charles Émile Picard
Studied by 1
category theory
Subtypes 1
ideal class group
Uses 1
invertible sheaf
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Summary

Picard group is an invariant[1].

Related Entities

Charles Émile Picard

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.
  9. [10] ↑ . wikidata.org.
  10. [11] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). Picard group. Retrieved November 10, 2026, from https://4ort.xyz/entity/picard-group
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BibTeX @misc{4ortxyz_picard-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Picard group}}, year = {2026}, url = {https://4ort.xyz/entity/picard-group}, note = {Accessed: 2026-11-10}}
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