Geodesic
Prym Differentials on a Variable Compact Riemann Surface
Matematičeskie zametki, Tome 95 (2014) no. 3, pp. 457-474

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The dimensions and bases of the spaces of meromorphic Prym differentials on a variable compact Riemann surface, as well as in the first holomorphic de Rham cohomology group of Prym differentials, are found for any characters.
Keywords: Prym differential, holomorphic de Rham cohomology, variable compact Riemann surface, Jacobian variety, Jacobian bundle, multiplicative function
Mots-clés : multiplicative Weierstrass point, multiplicative Weierstrass gap. 
@article{MZM_2014_95_3_a11,
     author = {M. I. Tulina and V. V. Chueshev},
     title = {Prym {Differentials} on a {Variable} {Compact} {Riemann} {Surface}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {457--474},
     publisher = {mathdoc},
     volume = {95},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_3_a11/}
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M. I. Tulina; V. V. Chueshev. Prym Differentials on a Variable Compact Riemann Surface. Matematičeskie zametki, Tome 95 (2014) no. 3, pp. 457-474. http://geodesic.mathdoc.fr/item/MZM_2014_95_3_a11/