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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Quillen–Lichtenbaum conjecture ： ウィキペディア英語版 Quillen–Lichtenbaum conjecture In mathematics, the Quillen–Lichtenbaum conjecture is a conjecture relating étale cohomology to algebraic K-theory introduced by , who was inspired by earlier conjectures of . and proved the Quillen–Lichtenbaum conjecture at the prime 2 for some number fields. Rost and Voevodsky have announced proofs of the Bloch–Kato conjecture, which implies the Quillen–Lichtenbaum conjecture for all primes. ==Statement== The conjecture in Quillen's original form states that if ''A'' is a finitely-generated algebra over the integers and ''l'' is prime, then there is a spectral sequence analogous to the Atiyah–Hirzebruch spectral sequence, starting at :$E\_2^=H^p\_\backslash text(\backslash textA(),\; Z\_\backslash ell(-q/2)),$ (which is understood to be 0 if ''q'' is odd) and abutting to :$K\_A\backslash otimes\; Z\_\backslash ell$ for −''p'' − ''q'' > 1 + dim ''A''. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Quillen–Lichtenbaum conjecture」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.