draft(AlgebraicGeometry): Conditional Riemann-Roch#41621
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the krull dimension of its stalk
…dditivity from some PRs. Note - the code is not very idiomatic but it seems more or less correct
…ohomology and computed the cohomology of the skyscraper sheaf
…rogress) Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Keep only the files leading up to the weak Riemann-Roch theorem (submodule design): SheafViaSubmodule -> ExactSequenceViaSubmodule -> SkyscraperEulerCharViaSubmodule -> RiemannRochViaSubmodule, together with their supporting files (Basic, Sheaf, SkyscraperTopos, CohmologyModule, EulerCharAdditive, Degree, LocallyFinsupp, KrullDimLE, Principal, ResidueFieldModule, OrderOfVanishing). Remove the old-design files, experiments, and work-in-progress files not imported by the main result, so the branch exhibits a clean dependency graph. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
…ded a dosctring note
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This is a sorry-free WIP PR showing a conditional form of the RIemann-Roch theorem for algebraic curves in AlgebraicGeometry/AlgebraicCycle/RiemannRoch.lean. Namely, we show that if X is locally noetherian integral scheme of krull dimension at most one which is locally finite over a field such that the cohomology groups of O_X eventually vanish and are finite dimensional k-vector spaces, then we have the usual Euler characteristic form of Riemann-Roch for curves
χ(𝒪ₓ(D)) = deg(D) + χ(𝒪ₓ).This work builds upon work in mathlib PRs by Brian Nugent (#36218) and Jesse Alama (#29713).