ALGEBRAIC COMBINATORICS

no. 1
Quivers and moduli spaces of pointed curves of genus zero
Blume, Mark1; Hille, Lutz1
1 Universität Münster Mathematisches Institut Einsteinstrasse 62 48149 Münster Germany
Algebraic Combinatorics, Volume 4 (2021) no. 1, pp. 89-124.

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 M ¯ 0,n and the Losev–Manin moduli spaces 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 M ¯ 0,a of weighted pointed stable curves of genus zero.

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DOI: 10.5802/alco.152
Classification: 14D22, 14D23, 14H10, 14L24, 14M25, 16G20
Keywords: Moduli spaces, quiver representations, geometric invariant theory, algebraic stacks, root systems.
Blume, Mark 1; Hille, Lutz 1

1 Universität Münster Mathematisches Institut Einsteinstrasse 62 48149 Münster Germany
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Blume, Mark; Hille, Lutz. Quivers and moduli spaces of pointed curves of genus zero. Algebraic Combinatorics, Volume 4 (2021) no. 1, pp. 89-124. doi : 10.5802/alco.152. https://alco.centre-mersenne.org/articles/10.5802/alco.152/

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