Quivers and moduli spaces of pointed curves of genus zero

Mark Blume; Lutz Hille

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arXiv · 1512.07785

Quivers and moduli spaces of pointed curves of genus zero

Mark Blume·Lutz Hille

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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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Mark Blume, Lutz Hille. 2015-12-24. Quivers and moduli spaces of pointed curves of genus zero. https://arxiv.org/abs/1512.07785

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