On Logarithmic Hodge-Witt Cohomology of Regular Schemes
Vol. 14 (2007), No. 4, Page 567--635.
Shiho, Atsushi
On Logarithmic Hodge-Witt Cohomology of Regular Schemes
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Abstract:
In this paper, we prove the purity of the logarithmic Hodge-Witt cohomology for an excellent regular pair of characteristic $p>0$ and the Gersten-type conjecture for the $p$-primary part of the Kato complex (the arithmetic Bloch-Ogus complex) of the spectrum of an excellent regular local ring of characteristic $p>0$. They are generalizations of results of Gros and Suwa to regular schemes which are not necessarily smooth over a perfect field.
Keywords: characteristic function, decomposition theorem, polynomial-normal distribution.
Mathematics Subject Classification (2000): Primary 14F30, Secondary 19D45.
Mathematical Reviews Number: MR2396000
Received: 2006-08-11
