3 papers
math.AG2026
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…
math.AG2025
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…
math-ph2024
Hitchin systems: some recent advances
O. K. Sheinman, Bin Wang
A survey of some recent advances in parabolic Hitchin systems (parabolic Bouville--Narasimhan--Ramanan correspondence, mirror symmetry for parabolic Hitchin systems), and in exact…