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Permutohedral complexes and rational curves with cyclic action
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Clader, Emily, Damiolini, Chiara, Huang, Daoji, Li, Shiyue and Ramadas, Rohini (2023) Permutohedral complexes and rational curves with cyclic action. Manuscripta Mathematica, 172 . pp. 805-856. doi:10.1007/s00229-022-01419-6 ISSN 0025-2611.
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WRAP-Permutohedral-complexes-rational-curves-cyclic-action-22.pdf - Accepted Version - Requires a PDF viewer. Download (1004Kb) | Preview |
Official URL: http://dx.doi.org/10.1007/s00229-022-01419-6
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.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Moduli theory, Automorphisms, Curves, Geometry, Algebraic | ||||||||
Journal or Publication Title: | Manuscripta Mathematica | ||||||||
Publisher: | Springer | ||||||||
ISSN: | 0025-2611 | ||||||||
Official Date: | November 2023 | ||||||||
Dates: |
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Volume: | 172 | ||||||||
Page Range: | pp. 805-856 | ||||||||
DOI: | 10.1007/s00229-022-01419-6 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Reuse Statement (publisher, data, author rights): | “This version of the article has been accepted for publication, after peer review (when applicable) but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at:http://dx.doi.org/10.1007/s00229-022-01419-6 Use of this Accepted Version is subject to the publisher’s Accepted Manuscript terms of use https://www.springernature.com/gp/open-research/policies/acceptedmanuscript-terms” | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 26 October 2022 | ||||||||
Date of first compliant Open Access: | 16 September 2023 |
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