Geodesic
Periods and principal parts of quadratic differentials on a~rigged Riemann surface
Izvestiya. Mathematics , Tome 11 (1977) no. 6, pp. 1359-1375

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In this paper we prove that the periods and principal parts uniquely determine a quadratic differential on a rigged Riemann surface. Bibliography: 7 titles. 
@article{IM2_1977_11_6_a8,
     author = {A. N. Tyurin},
     title = {Periods and principal parts of quadratic differentials on a~rigged {Riemann} surface},
     journal = {Izvestiya. Mathematics },
     pages = {1359--1375},
     publisher = {mathdoc},
     volume = {11},
     number = {6},
     year = {1977},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1977_11_6_a8/}
}
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A. N. Tyurin. Periods and principal parts of quadratic differentials on a~rigged Riemann surface. Izvestiya. Mathematics , Tome 11 (1977) no. 6, pp. 1359-1375. http://geodesic.mathdoc.fr/item/IM2_1977_11_6_a8/