@article{IM2_1982_19_2_a4,
author = {B. A. Dubrovin},
title = {The {Kadomtsev{\textendash}Petviashvili} equation and the relations between the periods of holomorphic differentials on {Riemann} surfaces},
journal = {Izvestiya. Mathematics},
pages = {285--296},
year = {1982},
volume = {19},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1982_19_2_a4/}
}
TY - JOUR AU - B. A. Dubrovin TI - The Kadomtsev–Petviashvili equation and the relations between the periods of holomorphic differentials on Riemann surfaces JO - Izvestiya. Mathematics PY - 1982 SP - 285 EP - 296 VL - 19 IS - 2 UR - http://geodesic.mathdoc.fr/item/IM2_1982_19_2_a4/ LA - en ID - IM2_1982_19_2_a4 ER -
B. A. Dubrovin. The Kadomtsev–Petviashvili equation and the relations between the periods of holomorphic differentials on Riemann surfaces. Izvestiya. Mathematics, Tome 19 (1982) no. 2, pp. 285-296. http://geodesic.mathdoc.fr/item/IM2_1982_19_2_a4/
[1] Griffiths P., Harris J., Principles of algebraic geometry, Wiley Intersci. Publ., 1978 | MR | Zbl
[2] Fay J., “Theta-functions on Riemann surfaces”, Lect. Notes in Math., 352, Springer, 1973 | MR | Zbl
[3] Schottky F., “Zur Theorie der Abel'schen Funktionen von vier Variabeln”, J. Reine Angew. Math., 102 (1888), 304–352
[4] Schottky F., “Über die Moduln der Thetafunktionen”, Acta Math., 27 (1903), 235–288 | DOI | MR | Zbl
[5] Schottky F., Jung H., “Neue Sätze über Symmetralfunktionen und die Abel'schen Funktionen der Riemann'schen Theorie”, Preuss. Akad. Wiss. (Berlin), Phys. Math. Kl., 1 (1909), 282–297
[6] Farkas H. M., Ranch H. E., “Period relations of Schottky type on Riemann surfaces”, Ann. Math., 92:3 (1970), 434–461 | DOI | MR | Zbl
[7] Andreotti A., Mayer A. L., “On period relations for abelian integrals on algebraic curves”, Ann. Scuola Norm. Super. Pisa, Ser. 3, 21:2 (1967), 189–238 | MR | Zbl
[8] S. P. Novikov (red.), Teoriya solitonov, Nauka, M., 1980 | MR
[9] Krichever I. M., “Integrirovanie nelineinykh uravnenii metodami algebraicheskoi geometrii”, Funkts. analiz, 11:1 (1977), 15–31 | MR | Zbl
[10] Dubrovin B. A., “O gipoteze S. P. Novikova v teorii teta-funktsii i nelineinykh uravnenii tipa Kortevega–de Friza i Kadomtseva–Petviashvili”, Dokl. AN SSSR, 251:3 (1980), 541–544 | MR
[11] Dubrovin B. A., “Teta-funktsii i nelineinye uravneniya”, Uspekhi matem. nauk, 36:2 (981), 11–80 | MR | Zbl
[12] Dobrokhotov S. Yu., Maslov V. P., “Konechnozonnye pochti periodicheskie resheniya v VKB-priblizheniyakh”, Sovremennye problemy matematiki, 15, 1980, 3–94 | MR | Zbl
[13] Beauville A., “Prym varieties and the Schottky problem”, Invent. Math., 41:2 (1977), 149–196 | DOI | MR | Zbl
[14] Satake I., “On the compactification of the Siegel space”, J. Indian Math. Soc., 20 (1956), 259–281 | MR | Zbl
[15] Baity W. L., “On the theory of $\theta$-functions, the moduli of abelian varieties and the module of curves”, Ann. of Math., 75:2 (1962), 342–381 | DOI | MR