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Quivers and moduli spaces of pointed curves of genus zero (1512.07785v4)
Published 24 Dec 2015 in math.AG and math.RT
Abstract: We construct moduli spaces of representations of quivers over arbitrary schemes and show how moduli spaces of pointed curves of genus zero like the Grothendieck-Knudsen moduli spaces $\overline{M}{0,n}$ and the Losev-Manin moduli spaces $\overline{L}_n$ can be interpreted as inverse limits of moduli spaces of representations of certain bipartite quivers. We also investigate the case of more general Hassett moduli spaces $\overline{M}{0,a}$ of weighted pointed stable curves of genus zero.
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