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Theta constants of two kinds on a compact Riemann surface of genus 2. (English) Zbl 0207.38101


MSC:

14K25 Theta functions and abelian varieties
32G15 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
30F60 Teichmüller theory for Riemann surfaces

Citations:

Zbl 0176.38302
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Full Text: DOI

References:

[1] Igusa, J. I., On the Graded Ring of Theta Constants, Amer. Jour. of Math., 86, 219-246 (1964) · Zbl 0146.31703 · doi:10.2307/2373041
[2] H. Jung, and F. Schottky, Neue Sätze über Symmetralfunktionen und die Abelsche Funktionen der Riemannschen “Theorie”Sitzungsber. Preuss. Akad. Wiss. (Berlin) Phys.—Math. Classe (1909), 282-297. · JFM 40.0489.03
[3] Krazer, A., Lehrbuch der Thetafunktionen (1903), Leipzig: Teubner, Leipzig · JFM 34.0492.08
[4] Lewittes, J., Riemann Surfaces and the Theta Function, Acta Math., 111, 37-61 (1964) · Zbl 0125.31803 · doi:10.1007/BF02391007
[5] Lewittes, J., Automorphisms of Compact Riemann Surfaces, Amer. Jour. of Math., 84, 734-752 (1963) · Zbl 0146.10403 · doi:10.2307/2373117
[6] Rauch, H. E.; Farkas, H. M., Relations between two kinds of Theta Constants on a Riemann Surface, Proceedings of the Nat’l Acad. of Sci., U.S.A., 59, 52-55 (1968) · Zbl 0176.38301 · doi:10.1073/pnas.59.1.52
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