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

Abstract

Let $X$ 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 corrected

References in corpus (1)

• Stability conditions on triangulated categories