2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/173337Motivated by the study of heterotic string compactifications on elliptically fibered Calabi-Yau manifolds, we present a procedure for testing semistability and identifying the decomposition type of degree zero holomorphic vector bundles over a nonsingular elliptic curve. The algorithm requires explicit knowledge of a basis of sections of an associated `twisted bundle'.29 pages, no figuresMathematical PhysicsHigh Energy Physics - Theorytext