We introduce the log etale cohomology in the second (full log etale) sense after K. Kato and prove several fundamental results including base change theorems. To prove them, we use some corresponding results in the log etale cohomology in the first (kummer log etale) sense. Conversely, they are used to show some new results in the kummer log etale cohomology. (C) 2017 Elsevier Inc. All rights reserved.
机构:
Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, JapanUniv Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan