The Eisenstein ideal with squarefree level
نویسندگان
چکیده
We use pseudodeformation theory to study the analogue of Mazur's Eisenstein ideal with certain squarefree levels. Given a prime number $p>3$ and $N$ satisfying conditions, we part $p$-adic Hecke algebra for $\Gamma_0(N)$, show that it is local complete intersection isomorphic ring. also in cases, not principal cuspidal quotient Gorenstein. As corollary, prove "multiplicity one" fails modular Jacobian these cases. In particular case, this proves conjecture Ribet.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2021
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2020.107543