Abstract Given a family of parameterized algebraic curves over a strictly semistable pair, we show that the simultaneous tropicalization of the curves in the family forms a family of parameterized tropical curves over the skeleton of the strictly semistable pair. We show that the induced tropical moduli map satisfies a certain balancing condition, which allows us to describe properties of its image and deduce a new liftability criterion.
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Karl Christ
Xiang He
Ilya Tyomkin
Bulletin of the London Mathematical Society
Tsinghua University
University of Turin
Ben-Gurion University of the Negev
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Christ et al. (Sun,) studied this question.
www.synapsesocial.com/papers/698586388f7c464f2300a39b — DOI: https://doi.org/10.1112/blms.70297