ALGEBRAIC COMBINATORICS

no. 1

Quivers and moduli spaces of pointed curves of genus zero
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: https://doi.org/10.5802/alco.152
Classification: 14D22,  14D23,  14H10,  14L24,  14M25,  16G20
Keywords: Moduli spaces, quiver representations, geometric invariant theory, algebraic stacks, root systems. 
@article{ALCO_2021__4_1_89_0,
     author = {Blume, Mark and Hille, Lutz},
     title = {Quivers and moduli spaces of pointed curves of genus zero},
     journal = {Algebraic Combinatorics},
     pages = {89--124},
     publisher = {MathOA foundation},
     volume = {4},
     number = {1},
     year = {2021},
     doi = {10.5802/alco.152},
     language = {en},
     url = {https://alco.centre-mersenne.org/articles/10.5802/alco.152/}
}
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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