Rings of automorphic forms which are not Cohen-Macaulay, II
ジャーナル
フリー
1988 年 40 巻 3 号 p. 369-381
詳細
- Published: 1988 Received: 1986/09/05 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
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訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報 訂正内容: Wrong : 1) H. Cartan, Fonctions automorphes, Ecole Normale Supérier Seminaire, 1957/58.
2) M. Eichler, Projective varieties and modular forms, Lecture Notes in Math., 210, Springer, 1970.
3) M. Eichler, On the graded ring of modular forms, Acta Arith., 18 (1971), 87-92.
4) E. Freitag, Lokale und globale Invarianten der Hilbertschen Modulgruppen, Invent. Math., 17 (1972), 106-134.
5) M. Eichler, Stabile Modulformen, Math. Ann., 230 (1977), 197-211.
6) M. Eichler, Die Irreducibilität der Schottky relation (Bemerkungen zu einem Satz von J. Igusa), Arch. Math., 40 (1983), 255-259.
7) E. Freitag und R. Kiehl, Algebraiche Eigenschaften der lokal Ringe in den Spitzen dear Hilbertschen Modulgruppen, Invent. Math., 24 (1974), 121-146.
8) H. Grauert und O. Riemenschneider, Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen, Invent. Math., 11 (1970), 263-292.
9) A. Grothendieck, Sur quelques points d'algèbre homologique, Tohoku Math. J., 9 (1957), 119-221.
10) A. Grothendieck, Éléments de géométrie algébrique, III, Publ. Math. IHES., 11 (1961).
11) R. Hartshorne, Residue and duality, Lecture Notes in Math., 20, Springer, 1966.
12) J. Igusa, On Siegel modular forms of genus two, Amer. J. Math., 84 (1962), 175-200; (II), Amer. J. Math., 86(1964), 392-412.
13) J. Igusa, Modular forms and projective invariants, Amer. J. Math., 89 (1967), 817-855.
14) J. Igusa, A desingularization problem in the theory of Siegel modular functions, Math. Ann., 168 (1967), 228-260.
15) S. Mori, On affine cones associated with polarized varieties, Japan. J. Math., 1 (1975), 301-309.
16) P. Samuel, On unique factorization domain, Illinois J. Math., 5 (1961), 1-17.
17) T. Shioda, On elliptic modular surfaces, J. Math. Soc. Japan, 24 (1972), 20-59.
18) S. Tsuyumine, Rings of modular forms (On Eichler's problem), Nagoya Math. J., 99 (1985), 31-44.
19) S. Tsuyumine, Rings of automorphic forms which are not Cohen-Macaulay, I, J. Math. Soc. Japan, 38 (1986), 147-162.
20) S. Tsuyumine, Factorial property of a ring of automorphic forms, Trans. Amer. Math. Soc., 296 (1986), 111-123.
21) S. Tsuyumine, On Siegel modular forms of degree three, Amer. J. Math., 108 (1986), 755-862; Addendum, Amer. J. Math., 1001-1003.
22) S. Tsuyumine, On the Siegel modular function field of degree three, Compositio Math., 63 (1987), 83-98.
23) K. Watanabe, Some remarks concerning Demazure's construction of normal graded rings, Nagoya Math. J., 83(1981), 203-211.
Right : [1] H. Cartan, Fonctions automorphes, Ecole Normale Supérier Seminaire, 1957/58.
[2] M. Eichler, Projective varieties and modular forms, Lecture Notes in Math., 210, Springer, 1970.
[3] M. Eichler, On the graded ring of modular forms, Acta Arith., 18 (1971), 87-92.
[4] E. Freitag, Lokale und globale Invarianten der Hilbertschen Modulgruppen, Invent. Math., 17 (1972), 106-134.
[5] M. Eichler, Stabile Modulformen, Math. Ann., 230 (1977), 197-211.
[6] M. Eichler, Die Irreducibilität der Schottky relation (Bemerkungen zu einem Satz von J. Igusa), Arch. Math., 40 (1983), 255-259.
[7] E. Freitag und R. Kiehl, Algebraiche Eigenschaften der lokal Ringe in den Spitzen dear Hilbertschen Modulgruppen, Invent. Math., 24 (1974), 121-146.
[8] H. Grauert und O. Riemenschneider, Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen, Invent. Math., 11 (1970), 263-292.
[9] A. Grothendieck, Sur quelques points d'algèbre homologique, Tôhoku Math. J., 9 (1957), 119-221.
[10] A. Grothendieck, Éléments de géométrie algébrique, III, Publ. Math. IHES., 11 (1961).
[11] R. Hartshorne, Residue and duality, Lecture Notes in Math., 20, Springer, 1966.
[12] J. Igusa, On Siegel modular forms of genus two, Amer. J. Math., 84 (1962), 175-200; (II), Amer. J. Math., 86 (1964), 392-412.
[13] J. Igusa, Modular forms and projective invariants, Amer. J. Math., 89 (1967), 817-855.
[14] J. Igusa, A desingularization problem in the theory of Siegel modular functions, Math. Ann., 168 (1967), 228-260.
[15] S. Mori, On affine cones associated with polarized varieties, Japan. J. Math., 1 (1975), 301-309.
[16] P. Samuel, On unique factorization domain, Illinois J. Math., 5 (1961), 1-17.
[17] T. Shioda, On elliptic modular surfaces, J. Math. Soc. Japan, 24 (1972), 20-59.
[18] S. Tsuyumine, Rings of modular forms (On Eichler's problem), Nagoya Math. J., 99 (1985), 31-44.
[19] S. Tsuyumine, Rings of automorphic forms which are not Cohen-Macaulay, I, J. Math. Soc. Japan, 38 (1986), 147-162.
[20] S. Tsuyumine, Factorial property of a ring of automorphic forms, Trans. Amer. Math. Soc., 296 (1986), 111-123.
[21] S. Tsuyumine, On Siegel modular forms of degree three, Amer. J. Math., 108 (1986), 755-862; Addendum, Amer. J. Math., 1001-1003.
[22] S. Tsuyumine, On the Siegel modular function field of degree three, Compositio Math., 63 (1987), 83-98.
[23] K. Watanabe, Some remarks concerning Demazure's construction of normal graded rings, Nagoya Math. J., 83(1981), 203-211.
訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル 訂正内容: -
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