Hypersurface arrangements of aCM type

Abstract We investigate the arrangement of hypersurfaces on a nonsingular varieties whose associated logarithmic vector bundle is arithmetically Cohen–Macaulay (for short, aCM), and prove that projective space only smooth complete intersection with Picard rank one admits an aCM bundle. also obtain number results bundles over several specific varieties. As opposite situation we Torelli‐type problem cohomology determines arrangement.