Wonderful compactifications and rational curves with cyclic action. (11th April 2023)

• Record Type: Journal Article
• Authors: Clader, Emily; Damiolini, Chiara; Li, Shiyue; Ramadas, Rohini
• Is Part Of: Forum of mathematics. Volume 11(2023)
• Publication Date: 2023-04-11
• Subjects: 14H10 -- 14N20 -- 14T99; Mathematics -- Periodicals; 510
• DOI: 10.1017/fms.2023.26
• Languages: English
• ISSNs: 2050-5094

Abstract

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.