Exactness, integrality, and log modifications
摘要
In this paper we discuss log blow-up's, introduced by Kazuya Kato, and define the concept of log modifications. Using this concept we prove that any morphism f: X ---> Y of locally noetherian fs log schemes with underlying structures of f and Y quasi-compact can be modified to an exact morphism, and moreover to an integral morphism. By a well-known fact on the underlying structure of an integral morphism this result can be considered as a weak log-version of flattening theorem by Raynaud and Gruson.
关键词
引用
@article{arxiv.math/9907124,
title = {Exactness, integrality, and log modifications},
author = {Fumiharu Kato},
journal= {arXiv preprint arXiv:math/9907124},
year = {2021}
}
备注
This paper has been updated in such a drastical way that I have to change the title and the main contents, since the main theorem of this paper is not perfectly correct. So I withdraw the original paper, and submit anew the updated version as a different paper with different title. The new paper is available in arXiv:2101.09104