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Moreover, many concepts in logarithmic geometry are invariant under log blowups. To formalize this invariance, we introduce the m-open, m-tale, m-smooth, m-fppf, and m-fpqc topologies for fs log schemes. These refine the standard topologies from scheme theory by treating log modifications as covers. This aspect of Grothendieck Topologies With Logarithmic Modifications Ads plays a vital role in practical applications.
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Furthermore, gROTHENDIECK TOPOLOGIES WITH LOGARITHMICMODIFICATIONSXIANYU HU AND MAXIMILIAN SCHIMPFAbstract. Many concepts in logarithmic geometry are invariant under log blowups.To formalize this invariance, we introduce the m-open, m- etale, m-smooth, m-fppf,and m-fpqc topologies for fs log schemes. This aspect of Grothendieck Topologies With Logarithmic Modifications Ads plays a vital role in practical applications.
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Furthermore, gROTHENDIECK TOPOLOGIES WITH LOGARITHMICMODIFICATIONSXIANYU HU AND MAXIMILIAN SCHIMPFAbstract. Many concepts in logarithmic geometry are invariant under log blowups.To formalize this invariance, we introduce the m-open, m- etale, m-smooth, m-fppf,and m-fpqc topologies for fs log schemes. This aspect of Grothendieck Topologies With Logarithmic Modifications Ads plays a vital role in practical applications.
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Furthermore, in the original definition (Michael Artin s seminar notes Grothendieck topologies), a Grothendieck topology on a category C is defined as a set T of coverings satisfying certain closure properties. This aspect of Grothendieck Topologies With Logarithmic Modifications Ads plays a vital role in practical applications.
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Many concepts in logarithmic geometry are invariant under log blowups. To formalize this invariance, we introduce the m-open, m-tale, m-smooth, m-fppf, and m-fpqc topologies for fs log schemes. These refine the standard topologies from scheme theory by treating log modifications as covers. This aspect of Grothendieck Topologies With Logarithmic Modifications Ads plays a vital role in practical applications.
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Moreover, in the original definition (Michael Artin s seminar notes Grothendieck topologies), a Grothendieck topology on a category C is defined as a set T of coverings satisfying certain closure properties. This aspect of Grothendieck Topologies With Logarithmic Modifications Ads plays a vital role in practical applications.
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- 2508.21134 Generation of Grothendieck topologies, provability and ...
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