Wonderful compactifications and rational curves with cyclic action
arXiv:2208.05463 · doi:10.1017/fms.2023.26
Abstract
We prove that the moduli space of rational curves with cyclic action, constructed in our previous work, is realizable as a wonderful compactification of the complement of a hyperplane arrangement in a product of projective spaces. By proving a general result on such wonderful compactifications, we conclude that this moduli space is Chow-equivalent to an explicit toric variety (whose fan can be understood as a tropical version of the moduli space), from which a computation of its Chow ring follows.
41 pages, 6 figures, 1 table; v3, corrected errors in table; comments welcome!
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