Faithful Tropicalization and Skeleton of M ¯ 0, n

Jiachang Xu () and Muyuan Zhang
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Jiachang Xu: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria
Muyuan Zhang: Westlake Institute for Advanced Study, Institute for Theoretical Sciences, Westlake University, Hangzhou 310030, China

Mathematics, 2025, vol. 13, issue 13, 1-24

Abstract: We propose a new method to compare between the essential skeleton of Berkovich analytification of ( M ¯ 0 , n , M ¯ 0 , n ∖ M 0 , n ) and faithful tropicalization of M 0 , n over a complete discrete valued field. In particular, we proved the two combinatorial structures are the same in terms of valuation in M ¯ 0 , n an .

Keywords: essential skeleton; Berkovich space; valuation; log regular scheme; tropicalization; moduli space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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