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arXiv · 1101.4821

Algebraic and tropical curves: comparing their moduli spaces

Lucia Caporaso
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Abstract

We construct the moduli space for equivalence classes of n-pointed tropical curves of genus g, together with its compactification given by weighted tropical curves, and establish some of its basic topological properties. We compare it to the moduli spaces of smooth and stable algebraic curves, from the combinatorial, the topological, and the Teichmüller point of view. The paper is written in an expository style, and it generalizes some results contained in sections 4-6 of arXiv:1001.2815v3.

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Lucia Caporaso. 2011-12-22. Algebraic and tropical curves: comparing their moduli spaces. https://arxiv.org/abs/1101.4821

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