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arXiv · 1304.6343

On Koszulity in homology of moduli spaces of stable n-pointed curves of genus zero

Natalia Iyudu
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Abstract

We prove Koszulity of the homology of the of moduli spaces of stable n-pointed curves of genus zero $\overline{M}_{0,n}$ for $n=5$, using its presentation due to Keel and the Priddy criterion of Koszulity. For $n=6 $ we establish that $\overline{M}_{0,6}^!$ is potential, find the expression for the potential, and based on that prove that it is Koszul.

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BibTeXRIS

Natalia Iyudu. 2013-04-23. On Koszulity in homology of moduli spaces of stable n-pointed curves of genus zero. https://arxiv.org/abs/1304.6343

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