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Faithful Tropicalization and Skeleton of M ¯ 0 , n

Author

Listed:
  • 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)

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 .

Suggested Citation

  • Jiachang Xu & Muyuan Zhang, 2025. "Faithful Tropicalization and Skeleton of M ¯ 0 , n," Mathematics, MDPI, vol. 13(13), pages 1-24, June.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:13:p:2082-:d:1686400
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