{"paper":{"title":"On equivariant characteristic ideals of real classes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Thong Nguyen Quang Do","submitted_at":"2013-05-28T12:22:20Z","abstract_excerpt":"Let $p$ be an odd prime, $F/{\\Bbb Q}$ an abelian totally real number field, $F_\\infty/F$ its cyclotomic ${\\Bbb Z}_p$-extension, $G_\\infty = Gal (F_\\infty / {\\Bbb Q}),$ ${\\Bbb A} = {\\Bbb Z}_p [[G_\\infty]].$\n  We give an explicit description of the equivariant characteristic ideal of $H^2_{Iw} (F_\\infty, {\\Bbb Z}_p(m))$ over ${\\Bbb A}$ for all odd $m \\in {\\Bbb Z}$ by applying M. Witte's formulation of an equivariant main conjecture (or \"limit theorem\") due to Burns and Greither. This could shed some light on Greenberg's conjecture on the vanishing of the $\\lambda$-invariant of $F_\\infty/F.$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.6466","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}