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- W4293790423 abstract "We build on the results of [6] to show that the homology groups $mathrm{H}_{r_1+r_2}(Y_0(mathcal{N}_Sigma),mathcal{O})_{mathfrak{m}_Sigma}$ of arithmetic manifolds are free over certain deformation rings $R_Sigma$, when there are enough geometric characteristic 0 representations. Hitherto we had proved that the homology group has a nonzero free $R_Sigma$-direct summand. The new ingredient is a commutative algebra argument involving congruence modules defined in higher codimension in [6]." @default.
- W4293790423 created "2022-08-31" @default.
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- W4293790423 date "2022-08-27" @default.
- W4293790423 modified "2023-09-25" @default.
- W4293790423 title "Freeness of Hecke modules at non-minimal levels" @default.
- W4293790423 doi "https://doi.org/10.48550/arxiv.2208.13097" @default.
- W4293790423 hasPublicationYear "2022" @default.
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