19. finiteness and chi
Finite-dimensionality of H¹(X, 𝒪_D) (Forster §14, Schwartz + Montel functional-analysis spine) and the Euler-characteristic / cohomological Riemann–Roch bookkeeping via skyscraper sequences.
31 modules, 9,792 lines, under Jacobians/Finiteness/.
References: Forster §16 · Forster §12 · Forster §14 · Forster GTM 81 §14.
- 19.1. Keystones
- 19.2. Builds on
- 19.3. Finiteness
- 19.4. Finiteness.BddHol
- 19.5. Finiteness.CechFiniteness
- 19.6. Finiteness.CechFinitenessAbstract
- 19.7. Finiteness.CechFinitenessAssembly
- 19.8. Finiteness.CechFinitenessDtwist
- 19.9. Finiteness.CechFinitenessWiring
- 19.10. Finiteness.CechModelArtificial
- 19.11. Finiteness.CechModelBase
- 19.12. Finiteness.CechModelBridge
- 19.13. Finiteness.CechModelDelta
- 19.14. Finiteness.CechModelDifferential
- 19.15. Finiteness.CechModelGeometry
- 19.16. Finiteness.CechModelHolomorphic
- 19.17. Finiteness.CechModelHolomorphicDelta
- 19.18. Finiteness.CechModelManifold
- 19.19. Finiteness.CechRefinementInjective
- 19.20. Finiteness.CechRefinementLeray
- 19.21. Finiteness.ChartDiskFiniteness
- 19.22. Finiteness.ChartDiskFinitenessComplete
- 19.23. Finiteness.ChartDiskLeray
- 19.24. Finiteness.CohomologicalH0Finiteness
- 19.25. Finiteness.CohomologicalRR
- 19.26. Finiteness.CohomologicalRRChartDisk
- 19.27. Finiteness.SchwartzFiniteness
- 19.28. Finiteness.SkyscraperArrow
- 19.29. Finiteness.SkyscraperAssembly
- 19.30. Finiteness.SkyscraperConeRealization
- 19.31. Finiteness.SkyscraperLESBase
- 19.32. Finiteness.SkyscraperProductWitness
- 19.33. Finiteness.SkyscraperSnake