On two-dimensional finite-gap potential Schrodinger and Dirac operators with singular spectral curves

摘要

We describe two-dimensional potential Schrodinger and Dirac operators whichare finite-gap at one energy level and have singular spectral curves. Itappears that the singularities can be rather complicated. Such Dirac operatorsappear as the spectral curves of tori immersed into the three-space.