Algebraic and tropical curves: comparing their moduli spaces
نویسنده
چکیده
We construct the moduli space for equivalence classes of n-pointed tropical curves of genus g, together with its bordification given by weighted tropical curves, and its compactification by extended (weighted) tropical curves. We compare it to the moduli spaces of smooth and stable, n-pointed algebraic curves, from the combinatorial, the topological, and the Teichmüller point of view.
منابع مشابه
Lectures on Tropical Curves and Their Moduli Spaces
These are notes for a series of five lectures on “Moduli and degenerations of algebraic curves via tropical geometry” delivered at the CIMPA-CIMAT-ICTP School on Moduli of Curves, February 29-March 4, 2016 in Guanajuato, Mexico.
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