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Multiplicative Weierstrass Points and the Jacobi Variety of a Compact Riemann Surface
Authors:Chueshev  V. V.
Affiliation:(1) Kemerovo State University, Russia
Abstract:In the previous papers of the present author, a general theory of multiplicative Weierstrass points on compact Riemann surfaces for arbitrary characters was developed. In the present paper, some additional relations between multiplicative Weierstrass points on a compact Riemann surface for an arbitrary character and special subsets in the Jacobi variety, the canonical embedding of a compact Riemann surface into a projective space, are established. We not distinction between classical Weierstrass points and multiplicative Weierstrass points on a compact Riemann surface.
Keywords:Riemann surface  character  Prym differential  multiplicative function  multiplicative Weierstrass point  Jacobi variety
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