One attempt to the K 3 modular function - II

Hironori Shiga

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1981)

  • Volume: 8, Issue: 1, page 157-182
  • ISSN: 0391-173X

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Shiga, Hironori. "One attempt to the $K3$ modular function - II." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 8.1 (1981): 157-182. <http://eudml.org/doc/83852>.

@article{Shiga1981,
author = {Shiga, Hironori},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {elliptic modular function; J0K3 surface; elliptic surface; period map; K3-surface; Appell hypergeometric equation},
language = {eng},
number = {1},
pages = {157-182},
publisher = {Scuola normale superiore},
title = {One attempt to the $K3$ modular function - II},
url = {http://eudml.org/doc/83852},
volume = {8},
year = {1981},
}

TY - JOUR
AU - Shiga, Hironori
TI - One attempt to the $K3$ modular function - II
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1981
PB - Scuola normale superiore
VL - 8
IS - 1
SP - 157
EP - 182
LA - eng
KW - elliptic modular function; J0K3 surface; elliptic surface; period map; K3-surface; Appell hypergeometric equation
UR - http://eudml.org/doc/83852
ER -

References

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  1. [1] E. Picard, Sur les fonctions de deux variables indépendentes analogues aux fonctions modulaires, Acta Math., 2 (1883), pp. 114-135. JFM15.0432.01
  2. [2] E. Picard, Sur une extension aux fonctions de deux variables du problème de Riemann, Ann. de l'Ecole Normale, 10 (1881), pp. 305-322. MR1508705JFM13.0389.01
  3. [3] K. Kodaira, On compact analytic surfaces, II-III, Ann. of Math., 77 (1963), pp. 563-626; 78 (1963), pp. 1-40. Zbl0118.15802MR184257
  4. [4] K. Kodaira, On the structure of compact complex analytic surfaces, I, Amer. J. Math., 86 (1964), pp. 751-798. Zbl0137.17501MR187255
  5. [5] Pjateck-Šapiro - Šafarevi, A Torelli theorem for algebraic surfaces of type K3, Math. USSR Isvestija, 5 (1971), pp. 547-588. Zbl0253.14006
  6. [6] T. Terada, Problème de Riemann et fonctions automorphes provenant des fonctions hypergéométriques de plusieurs variables, J. Math. Kyoto Univ., 13 (1973), pp. 557-578. Zbl0279.32022MR481156
  7. [7] T. Shioda, The period map of Abelian surfaces, J. Fac. Science Univ. Tokyo, 25 (1978), pp. 47-59. Zbl0405.14021MR480530
  8. [8] J.P. Serre, Cours d'arithmetique, Presses universitaires de France. Zbl0225.12002
  9. [9] H. Shiga, One attempt to the K3 modular function I, Ann. Scuola Norm. Sup. Pisa, 6 (1979), pp. 609-635. Zbl0427.14013MR563337

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