57 citations · 117 across the 14 of their papers we have counts for
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2-dimensional finite-gap Schrödinger operator whose spectrum admits two involutions
O. K. Sheinman
Two-dimensional Schrödinger operators that are finite-gap at one energy level are introduced in 1976 by Dubrovin, Krichever and Novikov. In two subsequent works by Novikov and Vese…
Inversion of the Abel--Prym map for real curves with involutions
Oleg K. Sheinman
Riemann vanishing theorem is a main ingredient of the conventional technique related to the Jacobi inversion problem. In the case of curves with a holomorphic involution, it has be…
Inversion of the Abel--Prym map in presence of an additional involution
O. K. Sheinman
Unlike Abel map of the symmetric power of a Riemann surface onto its Jacobian, the Abel--Prym map generically can not be reversed by means of conventional technique related to the…
Matrix divisors on Riemann surfaces and Lax operator algebras
Oleg K. Sheinman
Matrix divisors are introduced in the work by A.Weil (1938) which is considered as a starting point of the theory of holomorphic vector bundles on Riemann surfaces. In this theory…