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Saturated morphisms
of logarithmic schemes
Takeshi Tsuji |
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Vol. 1 (2019), No. 2, 185–220
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Abstract |
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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. |
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Keywords
logarithmic structure, logarithmic scheme, saturated
morphism
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Mathematical Subject Classification 2010
Primary: 06F05, 14A15
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Milestones
Received: 10 October 2017
Revised: 1 February 2018
Accepted: 15 February 2018
Published: 14 May 2018
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Authors |
| Takeshi Tsuji | |
| Graduate School of Mathematical
Sciences The University of Tokyo Tokyo 153-8914 Japan |
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