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DerivedAlgGeo.AlgebraicGeometry.Stability.Gieseker

Gieseker stability of coherent sheaves #

The Gieseker order on coherent sheaves — the reduced Hilbert function compared for large n — the lexicographic criterion that decides it, and the two stability predicates built from it.

The shared Hilbert-polynomial data this rests on is one directory up: HilbertPolynomial.lean owns PolarizedVarietyData and the Hilbert function, Coefficients.lean owns the Newton coefficients, and Purity.lean owns IsPure, which the μ-slope lane needs for reasons of its own. Harder–Narasimhan filtrations are not here: the repository's HN theorem on Coh X is for the μ-slope, and lives with it in Slope/.