Bayer's polynomial Bridgeland stability on coherent sheaves reduces to lexicographic slope-vector stability exactly when the stability vector is adapted, and a dHYM-type example destabilizes the trivial bundle while admitting flat critical metrics.
Semistability Conditions Defined by Ample Classes.Geom
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Polynomial Bridgeland Stability Conditions on the Category of Coherent Sheaves
Bayer's polynomial Bridgeland stability on coherent sheaves reduces to lexicographic slope-vector stability exactly when the stability vector is adapted, and a dHYM-type example destabilizes the trivial bundle while admitting flat critical metrics.