## Duality Theories for p-Primary Étale Cohomology III

J. Math. Sci. Univ. Tokyo
Vol. 26 (2019), No. 2, Page 223-248.

Kato, Kazuya; Suzuki, Takashi
Duality Theories for p-Primary Étale Cohomology III
This paper is Part III of the series of work by the first named author on duality theories for $p$-primary étale cohomology, whose Parts I and II were published in 1986 and 1987, respectively. In this Part III, we study a duality for $p$-primary étale nearby cycles on smooth schemes over henselian discrete valuation rings of mixed characteristic $(0, p)$ whose residue field is not necessarily perfect.
Keywords: $p$-adic nearby cycles, duality, Grothendieck topologies.