Projective varieties and rings of Thetanullwerte
Keyword(s):
Let r denote an even positive integer, m an element of Q2g such that r·m ≡ 0 mod 1 and ϑm the holomorphic function on the Siegel upper-half space Hg defined by(1) ,in which e(t) stands for exp and m′ and m″ are the first and the second entry vector of m. Let Θg(r) denote the graded ring generated over C by such Thetanullwerte; then it is a well known fact that the integral closure of Θg(r) is the ring of all modular forms relative to Igusa’s congruence subgroup Γg(r2, 2r2) cf. [6]. We shall denote this ring by A(Γg(r2, 2r2)).
1995 ◽
Vol 138
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pp. 179-197
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Keyword(s):
1978 ◽
Vol 19
(2)
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pp. 173-197
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Keyword(s):
2016 ◽
Vol 12
(08)
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pp. 2043-2060
Keyword(s):
1982 ◽
Vol 34
(1)
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pp. 169-180
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Keyword(s):
2017 ◽
Vol 13
(03)
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pp. 735-749
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1970 ◽
Vol 40
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pp. 173-192
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1985 ◽
Vol 100
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pp. 145-162
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