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

Voir la notice de l'article provenant de la source Math-Net.Ru

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/}
}
TY  - JOUR
AU  - A. N. Tyurin
TI  - Periods and principal parts of quadratic differentials on a~rigged Riemann surface
JO  - Izvestiya. Mathematics 
PY  - 1977
SP  - 1359
EP  - 1375
VL  - 11
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1977_11_6_a8/
LA  - en
ID  - IM2_1977_11_6_a8
ER  - 
%0 Journal Article
%A A. N. Tyurin
%T Periods and principal parts of quadratic differentials on a~rigged Riemann surface
%J Izvestiya. Mathematics 
%D 1977
%P 1359-1375
%V 11
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1977_11_6_a8/
%G en
%F IM2_1977_11_6_a8
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/

[1] Appell P., Goursat E., Theorie des functions algebraiques et de leurs integrates, 2, Gauthiers-Villars, 1930.

[2] Atiyah M. F., “Complex analytic connections in fibre bundles”, Trans. Amer. Math. Soc., 85:1 (1957), 181–207 | DOI | MR | Zbl

[3] Hawley H., Schiffer M., “Half-order differentials on Riemann surfaces”, Acta Math., 115 (1966), 199–236 | DOI | MR | Zbl

[4] Gunning R. C., “Special coordinate covering of Riemann surfaces”, Math. Ann., 170 (1967), 67–86 | DOI | MR | Zbl

[5] Gunning R. C., “Analytic structures on the space of flat vector bundles over a compact Riemann surface”, Several Complex Variables (Maryland, 1970), Lecture Notes in Math., 185, Springer-Verlag, 1971 | MR

[6] Pohl W. F., “Differential geometry of higher order”, Topology, 1 (1962), 169–213 | DOI | MR

[7] Poincare H., “Sur les groups des equations lineaires”, Acta Math., IV (1901), 201–312 | MR

[8] Tyurin A. N., “Geometriya modulei vektornykh rassloenii”, Uspekhi matem. nauk, 29:6 (1974), 59–88 | MR | Zbl