Meng Fai Lim. On the complete faithfulness of the p-free quotient modules of dual Selmer groups. (2017) JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY 0970-1249 2320-3110 32 3 299-326
[Idézéskapcsolat:26863058]

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MTMT azonosító
26863058
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Nyilvános
Nyilvános
Igen
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Régi időbélyeg
2017-10-12T06:09:08.000+0000
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Régi azonosító
16863058
Utolsó módosítás
2017-10-12T06:09:08.000+0000
Létrehozás dátuma
2017-10-12T06:04:58.000+0000
Közlemény
Tibor Backhausz et al. Algebraic functional equations and completely faithful Selmer groups. (2015) INTERNATIONAL JOURNAL OF NUMBER THEORY 1793-0421 11 04 1233-1257
Közlemény MTMT azonosítója
2757906
Kapcsolódó cikk
Meng Fai Lim. On the complete faithfulness of the p-free quotient modules of dual Selmer groups. (2017) JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY 0970-1249 2320-3110 32 3 299-326
Idézőközlemény MTMT azonosítója
26863058
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kézi felvitel
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Kontextus
Note that condition (iii) is satisfied in many cases (for instance, see [3, Corollary 2.8].; As discussed in [3, Section 7], X(E/F) is finite as suggested by its p-adic L-function which in turn implies that X(E/Fcyc) has trivial μΓ-invariant and λ-invariant.; As observed in [3, Section 7], 2 does not lie in P2.; Now we may apply [3, Corollary 6.3] to conclude that X(E/L∞) is completely faithful over Z5[[Gal(L∞/F)]] (note that X(E/L∞) is finitely generated over Z5[[Gal(L∞/Fcyc)]]).; We finally mention that one can also combine the main result of Csige with a similar argument in [3, Section 6] to obtain the completeness faithfulness for X(E/F∞) directly. It would be of interest to have an example that is not covered by the discussion in [3, Section 6] (i.e., the Zp[[H]]-rank of Xf(E/F∞) is ≥2) but which can be tackled by Theorem 3.6. Unfortunately, at present, the author does not have one.
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Meng Fai Lim. On the complete faithfulness of the p-free quotient modules of dual Selmer groups. (2017) JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY 0970-1249 2320-3110 32 3 299-326
2020-08-13 08:39