Abstract
The notion of universally saturated morphisms between saturated log schemes was introduced by Kazuya Kato. In this paper, we study universally saturated morphisms systematically by introducing the notion of saturated morphisms between integral log schemes as a relative analogue of saturated log structures. We eventually show that a morphism of saturated log schemes is universally saturated if and only if it is saturated. We prove some fundamental properties and characterizations of universally saturated morphisms via this interpretation.
Citation
Takeshi Tsuji. "Saturated morphisms of logarithmic schemes." Tunisian J. Math. 1 (2) 185 - 220, 2019. https://doi.org/10.2140/tunis.2019.1.185
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