2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158483The slopes of maximal subbundles of rank $s$ divided by the degree of the map under various pull backs form a bounded collection of numbers called the $s$-spectrum of the bundle. We study the supremum of the $s$-spectrum and determine it in terms of the Harder Narasimhan filtration of the bundle.To appearAlgebraic Geometry14On the spectrum of asymptotic slopestext