On the structure of non-archimedean analytic curves

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Brill-Noether theory for curves of a fixed gonality (2017, background): “We claim that there exists a (nonproper) Berkovich analytic curve 8 over a nonArchimedean field extending C, with a map to a Berkovich analytic (generalised) annulus 8 , in the sense of [11], whose tropicalisation is Γ8 → 8 .”
Lifting harmonic morphisms I: metrized complexes and Berkovich skeleta (2013, unknown): “open) annulus is an isomorphism invariant; see for instance [12], Corollary 2.”
Degeneration of Linear Series from the Tropical Point of View and Applications (2015, methodology): “There is natural metric on the set ValC which is described in detail in [BPR13].”