Mathematical Journal of Okayama University 59巻 1号
2017-01 発行

Categorical characterization of strict morphisms of fs log schemes

Hoshi, Yuichiro Research Institute for Mathematical Sciences, Kyoto University
Nakayama, Chikara Department of Economics, Hitotsubashi University
Publication Date
2017-01
Abstract
In the present paper, we study a categorical characterization of strict morphisms of fs log schemes. In particular, we prove that strictness of morphisms of fs log schemes is preserved by an arbitrary equivalence of categories between suitable categories of fs log schemes. The main result of the present paper leads us to a relatively simple alternative proof of a result on a categorical representation of fs log schemes proved by S. Mochizuki.
Keywords
fs log scheme
strict morphism
fs log point