Geodesic
A generalization of the Weierstrass $\wp$-function and the moduli variety of rigged Riemann surfaces
Izvestiya. Mathematics, Tome 13 (1979) no. 2, pp. 435-444 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper the moduli variety of rigged Riemann surfaces is computed. Bibliography: 12 titles. 
@article{IM2_1979_13_2_a11,
     author = {A. N. Tyurin},
     title = {A~generalization of the {Weierstrass} $\wp$-function and the moduli variety of rigged {Riemann} surfaces},
     journal = {Izvestiya. Mathematics},
     pages = {435--444},
     year = {1979},
     volume = {13},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1979_13_2_a11/}
}
TY  - JOUR
AU  - A. N. Tyurin
TI  - A generalization of the Weierstrass $\wp$-function and the moduli variety of rigged Riemann surfaces
JO  - Izvestiya. Mathematics
PY  - 1979
SP  - 435
EP  - 444
VL  - 13
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/IM2_1979_13_2_a11/
LA  - en
ID  - IM2_1979_13_2_a11
ER  - 
%0 Journal Article
%A A. N. Tyurin
%T A generalization of the Weierstrass $\wp$-function and the moduli variety of rigged Riemann surfaces
%J Izvestiya. Mathematics
%D 1979
%P 435-444
%V 13
%N 2
%U http://geodesic.mathdoc.fr/item/IM2_1979_13_2_a11/
%G en
%F IM2_1979_13_2_a11
A. N. Tyurin. A generalization of the Weierstrass $\wp$-function and the moduli variety of rigged Riemann surfaces. Izvestiya. Mathematics, Tome 13 (1979) no. 2, pp. 435-444. http://geodesic.mathdoc.fr/item/IM2_1979_13_2_a11/

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

[2] Fay J. D., “Theta functions on Riemann surfaces”, Lecture Notes in Math., 352, Springer-Verlag, 1973 | MR | Zbl

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

[4] Klein F., “Zur theorie der Abel'shen functionen”, Math. Ann., 36 (1890), 1–17 | DOI | MR

[5] Mumford D., Curves and their jacobians, Ann. Arbor, 1975 | MR | Zbl

[6] Mumford D., “Abelian quotients of the Teichmiiller modular group”, Journal d'analyse matematique, XVIII (1967), 227–244 | DOI | MR

[7] Mumford D., “The structure of the moduli space of curves and abelian varieties”, Actes Congrés intern. math., Gauthier-Villars, Paris, 1971, 457–465 | MR

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

[9] Shiffer M., Spenser D., Funktsionaly na konechnykh rimanovykh poverkhnostyakh, IL, M., 1957

[10] Tyurin A. N., “Periody i glavnye chasti kvadratichnykh differentsialov na osnaschennoi rimanovoi poverkhnosti”, Izv. AN SSSR. Ser. matem., 41 (1977), 1425–1442 | Zbl

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

[12] Wirtinger W., “Integrate dritter Gattung und linear polymorphe Funktionen”, Monatsh. Math., Phys., 51 (1943), 101–114 | MR