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arXiv · 2608.24052

Cohomology of moduli spaces of pointed curves

Jinwon Choi·Young-Hoon Kiem
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Abstract

In this paper, after reviewing recent progress on the cohomology of $\overline{{\cal M}}_{0,n}$, we further our investigation on the cohomology of moduli spaces of pointed curves in continuation of [2,4,5,6,7,8]. In particular, we prove that the Betti number distribution of the Fulton-MacPherson compactification $C[n]$ of the space of $n$ ordered distinct points on any smooth projective curve $C$ is asymptotically Gaussian as $n$ goes to infinity.

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Jinwon Choi, Young-Hoon Kiem. 2026-08-25. Cohomology of moduli spaces of pointed curves. https://arxiv.org/abs/2608.24052

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