Balancing properties of tropical moduli maps
arxiv(2024)
摘要
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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