Wonderful compactifications and rational curves with cyclic action
Algebraic Geometry
2025-06-16 v3 Combinatorics
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.
Keywords
Cite
@article{arxiv.2208.05463,
title = {Wonderful compactifications and rational curves with cyclic action},
author = {Emily Clader and Chiara Damiolini and Shiyue Li and Rohini Ramadas},
journal= {arXiv preprint arXiv:2208.05463},
year = {2025}
}
Comments
41 pages, 6 figures, 1 table; v3, corrected errors in table; comments welcome!