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Grothendieck–Hirzebruch–Riemann–Roch theorem

Result in algebraic geometry
Intangible theorem Q1899432
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Grothendieck–Hirzebruch–Riemann–Roch theorem

Summary

Grothendieck–Hirzebruch–Riemann–Roch theorem is a theorem[1]. It draws 96 Wikipedia views per month (theorem category, ranking #183 of 1,306).[2]

Key Facts

  • Grothendieck–Hirzebruch–Riemann–Roch theorem's instance of is recorded as theorem[3].
  • Alexander Grothendieck is named after Grothendieck–Hirzebruch–Riemann–Roch theorem[4].
  • Friedrich Hirzebruch is named after Grothendieck–Hirzebruch–Riemann–Roch theorem[5].
  • Bernhard Riemann is named after Grothendieck–Hirzebruch–Riemann–Roch theorem[6].
  • Gustav Roch is named after Grothendieck–Hirzebruch–Riemann–Roch theorem[7].
  • Grothendieck–Hirzebruch–Riemann–Roch theorem's part of is recorded as list of theorems[8].
  • Grothendieck–Hirzebruch–Riemann–Roch theorem's has part is recorded as smooth quasiprojective scheme[9].
  • Grothendieck–Hirzebruch–Riemann–Roch theorem's has part is recorded as smooth quasiprojective scheme[10].
  • Grothendieck–Hirzebruch–Riemann–Roch theorem's has part is recorded as proper morphism[11].
  • Grothendieck–Hirzebruch–Riemann–Roch theorem's has part is recorded as Todd class[12].
  • Grothendieck–Hirzebruch–Riemann–Roch theorem's has part is recorded as Chern class[13].
  • Grothendieck–Hirzebruch–Riemann–Roch theorem's has part is recorded as Push-forward (Chow groups)[14].
  • Grothendieck–Hirzebruch–Riemann–Roch theorem's has part is recorded as Push-forward (Grothendieck groups)[15].
  • Grothendieck–Hirzebruch–Riemann–Roch theorem's Freebase ID is recorded as /m/058m3p[16].
  • Grothendieck–Hirzebruch–Riemann–Roch theorem's proved by is recorded as Alexander Grothendieck[17].
  • Grothendieck–Hirzebruch–Riemann–Roch theorem's defining formula is recorded as \mbox{ch}(f_{\mbox{!}}{\mathcal F}^\bull)\mbox{td}(Y) = f_* (\mbox{ch}({\mathcal F}^\bull) \mbox{td}(X) )[18].
  • Grothendieck–Hirzebruch–Riemann–Roch theorem's studied by is recorded as category theory[19].
  • Grothendieck–Hirzebruch–Riemann–Roch theorem's maintained by WikiProject is recorded as WikiProject Mathematics[20].
  • Grothendieck–Hirzebruch–Riemann–Roch theorem's Microsoft Academic ID is recorded as 2778797676[21].

Why It Matters

Grothendieck–Hirzebruch–Riemann–Roch theorem draws 96 Wikipedia views per month (theorem category, ranking #183 of 1,306).[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[22] It is known by 4 alternative names across languages and contexts.[23]

Related Entities

Alexander Grothendieck Bernhard Riemann

References

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

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . wikidata.org.
  16. [18] ↑ . wikidata.org.
  17. [19] ↑ . wikidata.org.
  18. [20] ↑ . wikidata.org.
  19. [21] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [22] ↑ . Wikidata sitelinks. wikidata.org.
  3. [23] ↑ . 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). Grothendieck–Hirzebruch–Riemann–Roch theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/grothendieck-hirzebruch-riemann-roch-theorem
MLA “Grothendieck–Hirzebruch–Riemann–Roch theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/grothendieck-hirzebruch-riemann-roch-theorem.
BibTeX @misc{4ortxyz_grothendieck-hirzebruch-riemann-roch-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Grothendieck–Hirzebruch–Riemann–Roch theorem}}, year = {2026}, url = {https://4ort.xyz/entity/grothendieck-hirzebruch-riemann-roch-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Grothendieck–Hirzebruch–Riemann–Roch theorem — https://4ort.xyz/entity/grothendieck-hirzebruch-riemann-roch-theorem (retrieved 2026-05-03)

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