The Abel-Jacobi map for real hyperelliptic surfaces of genus 3 (Q1889649)

The paper describes geometric properties of the Abel-Jacobi map of symmetric powers of the real point sets of real hyperelliptic Riemann surfaces of genus 2 and 3 to the real part of the corresponding Jacobi variety. It is well known that the real part of a Riemann surface of genus \(>1\) is embedded to the Jacobian by the Abel-Jacobi map. The authors show that the symmetric squares and cubes of the real curves under consideration are embedded into the real part of the Jacobian after contracting some substrata.