## On Logarithmic Hodge-Witt Cohomology of Regular Schemes

J. Math. Sci. Univ. Tokyo
Vol. 14 (2007), No. 4, Page 567--635.

Shiho, Atsushi
On Logarithmic Hodge-Witt Cohomology of Regular Schemes
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.