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- Title
Permutohedral complexes and rational curves with cyclic action.
- Authors
Clader, Emily; Damiolini, Chiara; Huang, Daoji; Li, Shiyue; Ramadas, Rohini
- Abstract
We define a moduli space of rational curves with finite-order automorphism and weighted orbits, and we prove that the combinatorics of its boundary strata are encoded by a particular polytopal complex that also captures the algebraic structure of a complex reflection group acting on the moduli space. This generalizes the situation for Losev–Manin's moduli space of curves (whose boundary strata are encoded by the permutohedron and related to the symmetric group) as well as the situation for Batyrev–Blume's moduli space of curves with involution, and it extends that work beyond the toric context.
- Publication
Manuscripta Mathematica, 2023, Vol 172, Issue 3/4, p805
- ISSN
0025-2611
- Publication type
Article
- DOI
10.1007/s00229-022-01419-6