26 citations · 47 across the 4 of their papers we have counts for
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Triangulations of non-archimedean curves, semi-stable reduction, and ramification
Lorenzo Fantini, Daniele Turchetti
Let be a complete discretely valued field with algebraically closed residue field and let be a smooth projective and geometrically connected algebraic -curve o…
Galois descent of semi-affinoid spaces
Lorenzo Fantini, Daniele Turchetti
We study the Galois descent of semi-affinoid non-archimedean analytic spaces. These are the non-archimedean analytic spaces which admit an affine special formal scheme as model ove…
Normalized Berkovich spaces and surface singularities
Lorenzo Fantini
We define normalized versions of Berkovich spaces over a trivially valued field , obtained as quotients by the action of defined by rescaling semivaluations. We…
Faithful realizability of tropical curves
Man-Wai Cheung, Lorenzo Fantini, Jennifer Park +1
We study whether a given tropical curve in can be realized as the tropicalization of an algebraic curve whose non-archimedean skeleton is faithfully represented…