Multiplicative Weierstrass points and the Jacobi variety of a compact Riemann surface. (Q1889577)

\textit{V. V. Chueshev} and \textit{E. Kh. Yakubov} [Sib. Math. J. 43, No. 6, 1141--1158 (2002; Zbl 1006.14009)] introduced the notion of multiplicative Weierstrass points on a compact Riemann surface \(X\) of genus \(g \geq 2\). In the paper under review the first named author proves some additional relations between multiplicative Weierstrass points on \(X\) for an arbitrary character and special subsets of the Jacobian of \(X\). He proves that any automorphism of \(X\) induces a bijection on the set of all multiplicative Weierstrass points. It is also proved that the set of all Prym \((p,q)\)-differential on \(X\) with simple zeros is open and dense in the set of all Prym \((p,q)\)-differentials.