\(\ell\)-adic properties of certain modular forms (Q883655)
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scientific article; zbMATH DE number 5161645
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\ell\)-adic properties of certain modular forms |
scientific article; zbMATH DE number 5161645 |
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\(\ell\)-adic properties of certain modular forms (English)
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6 June 2007
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The authors prove that Hecke-operators on certain spaces of \(\ell\)-adic modular forms (with \(\ell\in \{3,5,7\}\)) are topologically nilpotent. They then derive some arithmetic consequences of this result.
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modular forms
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Hecke-operators
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mod \(\ell\) Galois representations
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Serre's \(\varepsilon\)-conjecture
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