Geodesic
Abel--Jacobi Mapping for Real Hyperelliptic Riemann Surfaces
Matematičeskie zametki, Tome 76 (2004) no. 6, pp. 833-839

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We study the degrees of the Abel–Jacobi mapping on hyperelliptic Riemann surfaces of arbitrary genus and the restrictions of the corresponding mappings to the symmetric powers of the real locus of the given Riemann surface. 
@article{MZM_2004_76_6_a3,
     author = {O. V. Danilova},
     title = {Abel--Jacobi {Mapping} for {Real} {Hyperelliptic} {Riemann} {Surfaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {833--839},
     publisher = {mathdoc},
     volume = {76},
     number = {6},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_76_6_a3/}
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O. V. Danilova. Abel--Jacobi Mapping for Real Hyperelliptic Riemann Surfaces. Matematičeskie zametki, Tome 76 (2004) no. 6, pp. 833-839. http://geodesic.mathdoc.fr/item/MZM_2004_76_6_a3/