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/.