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arxiv: 1011.2826 · v3 · pith:S5CGMRKSnew · submitted 2010-11-12 · 🧮 math.AG · math.KT· math.NT

Comparison of Dualizing Complexes

classification 🧮 math.AG math.KTmath.NT
keywords complexcycleblochdualizingcomparisoncomplexesgersteninduces
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We prove that there is a map from Bloch's cycle complex to Kato's complex of Milnor K-theory, which induces a quasi-isomorphism from \'{e}tale sheafified cycle complex to the Gersten complex of logarithmic de Rham--Witt sheaves. Next we show that the truncation of Bloch's cycle complex at -3 is quasi-isomorphic to Spiess' dualizing complex.

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