Serre duality

duality for holomorphic vector bundles on a compact complex manifold induced by a dualizing sheaf
Thing general Q11095962
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Serre duality

Summary

Serre duality ranks in the top 2% of general entities by monthly Wikipedia readership (99 views/month).[1]

Key Facts

  • Jean-Pierre Serre is named after Serre duality[2].
  • Serre duality's subclass of is recorded as theorem[3].
  • Serre duality's Freebase ID is recorded as /m/01_7hc[4].
  • Serre duality's defining formula is recorded as \operatorname H^\bullet(X,\mathcal E)\times\operatorname H^{n-\bullet}(X,\mathcal K_X\otimes\mathcal E^*)\to\operatorname H^n(X,\mathcal K_X)\to k[5].
  • Serre duality's nLab ID is recorded as Serre duality[6].
  • Serre duality's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • Serre duality's Microsoft Academic ID is recorded as 104316267[8].
  • Serre duality's in defining formula is recorded as \mathcal E[9].
  • Serre duality's in defining formula is recorded as \mathcal K_X[10].
  • Serre duality's in defining formula is recorded as \operatorname H[11].
  • Serre duality's in defining formula is recorded as k[12].
  • Serre duality's in defining formula is recorded as X[13].
  • Serre duality's PlanetMath ID is recorded as SerreDuality[14].

Why It Matters

Serre duality ranks in the top 2% of general entities by monthly Wikipedia readership (99 views/month).[1] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[15]

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.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] . Wikidata sitelinks. 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). Serre duality. Retrieved April 11, 2026, from https://4ort.xyz/entity/serre-duality
MLA “Serre duality.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Apr. 2026, https://4ort.xyz/entity/serre-duality.
BibTeX @misc{4ortxyz_serre-duality_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Serre duality}}, year = {2026}, url = {https://4ort.xyz/entity/serre-duality}, note = {Accessed: 2026-04-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Serre duality — https://4ort.xyz/entity/serre-duality (retrieved 2026-04-11)

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