Harder-Narasimhan Filtrations and K-Groups of an Elliptic Curve

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137497Let $X$ be an elliptic curve over an algebraically closed field. We prove that some exact sub-categories of the category of vector bundles over $X$, defined using Harder-Narasimhan filtrations, have the same K-groups as the whole category.5 pages, typos correctedK-Theory and HomologyAlgebraic Geometry19E08, 14H52, 14H60Harder-Narasimhan Filtrations and K-Groups of an Elliptic Curvetext