Comparison of Dualizing Complexes

Details Comparison of Dualizing Complexes Comparison of Dualizing Complexes

2010-11-12

arxiv.org/abs/1011.2826v3

Mathematics

Algebraic Geometry

34 pages, In the new version, we correct a mistake found by the referee. Theorem 1.3, Theorem 2.5 (the Beilinson-Lichtenbaum C

Scientific paper

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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