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

Mathematics – K-Theory and Homology

Scientific paper

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5 pages, typos corrected

Scientific paper

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.

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