Additive decompositions for rings of modular forms
نویسندگان
چکیده
We study rings of integral modular forms for congruence subgroups as modules over the ring full group. In many cases these are free or decompose at least into well-understood pieces. apply this to characterize which Cohen--Macaulay and prove finite generation results. These theorems based on decomposition results about vector bundles compactified moduli stack elliptic curves.
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ژورنال
عنوان ژورنال: Documenta Mathematica
سال: 2022
ISSN: ['1431-0635', '1431-0643']
DOI: https://doi.org/10.4171/dm/874