Hyperelliptic Kleinian functions and applications
  We 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. 
Victor Buchstaber (Research Institute of Physico-Technical and   Radio-Technical Measurements, VNIIFTRI, Mendeleevo), Victor...