Permutohedral complexes and rational curves with cyclic action

Autor:	Emily Clader, Chiara Damiolini, Daoji Huang, Shiyue Li, Rohini Ramadas
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry General Mathematics FOS: Mathematics Mathematics - Combinatorics Combinatorics (math.CO) Algebraic Geometry (math.AG) Mathematics::Symplectic Geometry 14H10 (Primary) 52B05 (Secondary)
Popis:	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. 47 pages, 12 figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fddb5540654d76374ef6bfd71a60d039 http://arxiv.org/abs/2104.06526 Zobrazit plný text záznamu