185 citations · 736 across the 61 of their papers we have counts for
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math.AG2012★ 185 cited
The tropicalization of the moduli space of curves
Dan Abramovich, Lucia Caporaso, Sam Payne
We show that the skeleton of the Deligne-Mumford-Knudsen moduli stack of stable curves is naturally identified with the moduli space of extended tropical curves, and that this is c…
math.AG2012★ 7 cited
Comparison theorems for Gromov-Witten invariants of smooth pairs and of degenerations
Dan Abramovich, Steffen Marcus, Jonathan Wise
We consider four approaches to relative Gromov-Witten theory and Gromov-Witten theory of degenerations: Jun Li's original approach, Bumsig Kim's logarithmic expansions, Abramovich-…