2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153819We develop the theory of hyperelliptic Kleinian functions. As applications we consider construction of the explicit matrix realization of the hyperelliptic Kummer varieties, differential operators to have the hyperelliptic curve as spectral variety, solution of the KdV equations by Kleinian functions.24 pages, AMSLaTeX2eExactly Solvable and Integrable Systemstext