Geodesic
On certain vector valued Siegel modular forms of type $(k,2)$ over $\mathbb Z_{(p)}$
Hirotaka Kodama1
1Academic Support Center Kogakuin University Hachioji, Tokyo 192-0015, Japan
Acta Arithmetica, Tome 188 (2019) no. 1, pp. 83-98
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We give generators of the module over $M_*^{{\rm ev}}$ of vector valued Siegel modular forms of type $(k,2)$ over $\mathbb Z_{(p)}$. This gives an example of the positive solution to the more general problem whether the module of vector valued modular forms of arbitrary degree is finitely generated over the ring of modular forms for $\mathbb Z_{(p)}$.
DOI : 10.4064/aa171119-21-5
Keywords: generators module * vector valued siegel modular forms type mathbb gives example positive solution general problem whether module vector valued modular forms arbitrary degree finitely generated ring modular forms mathbb

Hirotaka Kodama  1

1 Academic Support Center Kogakuin University Hachioji, Tokyo 192-0015, Japan 
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Hirotaka Kodama. On certain vector valued Siegel modular forms of type $(k,2)$ over $\mathbb Z_{(p)}$. Acta Arithmetica, Tome 188 (2019) no. 1, pp. 83-98. doi: 10.4064/aa171119-21-5

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