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Theta constants of genus three. (English) Zbl 0385.14011


MSC:

14K25 Theta functions and abelian varieties
14J35 \(4\)-folds
20G35 Linear algebraic groups over adèles and other rings and schemes
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References:

[1] J.I. Igusa : On the Graded Ring of Theta Constants. I and II , American Journal of Mathematics 86, 88; 1964, 1966. · Zbl 0146.31704
[2] J.I. Igusa : Theta Functions . Springer Verlag. 1972. · Zbl 0251.14016
[3] H. Rauch and H. Farkas : Theta functions with Applications to Riemann Surfaces . Williams and Wilkins. 1974. · Zbl 0292.30015
[4] B. Riemann : ’ Zur Theorie der Abelsche Functionen für den Fall p = 3’ . Gesammelte Werke. 1st. Auflage.
[5] B. Riemann : ’ Ausdrücke der Klassenmoduln bei p = 3 durch Thetaquotienten fur die Nullwerthe der Argumente’ . Nachträge to Riemann’s Werke.
[6] H. Weber : Theorie der Abelschen Functionen vom Geschlecht drei . Berlin 1876. · JFM 08.0293.01
[7] J.P. Glass : Theta Constants of Genus Three . Thesis. Cambridge University. 1977. · Zbl 0385.14011
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