Corpus definition canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Definition cid001321DEF0195canonicalv1

Sheaf Cohomology Groups

Sheaf cohomology on the primorial tower. H⁰ = global sections (rank 1 for constant sheaf). H¹ = 0 (ultrametric cover is acyclic).

Payload

Sheaf Cohomology Groups

Sheaf cohomology on the primorial tower. H⁰ = global sections (rank 1 for constant sheaf). H¹ = 0 (ultrametric cover is acyclic).

Sheaf Cohomology Groups

Summary

Sheaf cohomology on the primorial tower. H⁰ = global sections (rank 1 for constant sheaf). H¹ = 0 (ultrametric cover is acyclic).

Statement

No manuscript statement was extracted in this pilot run.

Proof / Justification

This item is definitional. No manuscript proof is required.

Source Context

  • Registry source: book-02.jsonl line 213
  • Manuscript source: not matched

Lean / Formalization Notes

  • Formalization: formalized
  • Module: TauLib.BookII.CentralTheorem.SheafCohomology
  • Name: h0_global_sections

Dependencies

  • Canonical: II.D86

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001321
  • Primary alias DEF0195
  • Type Definition
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

II.D87sheaf-cohomology-groupsdef:sheaf-cohomology

Release lines

corpus_v3_workingcorpus_v2

Relations

Formalized by (2)

Appears in (1)

Downstream uses (computed) (4)

Items in the corpus that reference this one via load-bearing relations. Computed from the full corpus-v3 graph at build time.

Sources

  • Monograph cid000001Book II, Part 9, Chapter 50 (Wave M5)

Version & History

  • v1 · 2026-05-10 imported from v2 registry
  • v1 · 2026-05-10 wired formalized by in wave 5

Status disclaimer

A Corpus Item page reports the program's current internal record for this item. It does not imply external verification, scientific consensus, or final proof unless explicitly stated. Read it together with its dependencies, formalization status, and the program's overall stance.

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