English

Duality theories for p-primary etale cohomology III

Number Theory 2019-09-20 v4 Algebraic Geometry

Abstract

This paper is Part III of the series of work by the first named author on duality theories for p-primary etale cohomology, whose Parts I and II were published in 1986 and 1987, respectively. In this Part III, we study a duality for p-primary etale nearby cycles on smooth schemes over henselian discrete valuation rings of mixed characteristic (0, p) whose residue field is not necessarily perfect.

Keywords

Cite

@article{arxiv.1810.02218,
  title  = {Duality theories for p-primary etale cohomology III},
  author = {Kazuya Kato and Takashi Suzuki},
  journal= {arXiv preprint arXiv:1810.02218},
  year   = {2019}
}

Comments

Accepted for publication in the Journal of Mathematical Sciences, the University of Tokyo. 18 pages