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Wonderful compactifications and rational curves with cyclic action
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Clader, Emily, Damiolini, Chiara, Li, Shiyue and Ramadas, Rohini (2023) Wonderful compactifications and rational curves with cyclic action. Forum of Mathematics, Sigma, 11 . e29. doi:10.1017/fms.2023.26 ISSN 2050-5094 .
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Official URL: http://dx.doi.org/10.1017/fms.2023.26
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.
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): | Geometry, Algebraic, Curves, Algebraic , Normed linear spaces, Tropical geometry | ||||||||||||
Journal or Publication Title: | Forum of Mathematics, Sigma | ||||||||||||
Publisher: | Cambridge University Press | ||||||||||||
ISSN: | 2050-5094 | ||||||||||||
Official Date: | 2023 | ||||||||||||
Dates: |
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Volume: | 11 | ||||||||||||
Article Number: | e29 | ||||||||||||
DOI: | 10.1017/fms.2023.26 | ||||||||||||
Status: | Peer Reviewed | ||||||||||||
Publication Status: | Published | ||||||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||||||
Date of first compliant deposit: | 30 May 2023 | ||||||||||||
Date of first compliant Open Access: | 31 May 2023 | ||||||||||||
RIOXX Funder/Project Grant: |
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