The modular automorphisms of quotientmodular curves

dc.contributor.author
Bars, Francesc
dc.contributor.author
Dalal, T.
dc.date.accessioned
2026-01-21T11:33:54Z
dc.date.available
2026-01-21T11:33:54Z
dc.date.issued
2025-12-12
dc.identifier.uri
http://hdl.handle.net/2072/489160
dc.description.abstract
We obtain the modular automorphism group of any quotient modular curve of level , with . In particular, we obtain some unexpected automorphisms of order 3 that appear for the quotient modular curves when the Atkin-Lehner involution belongs to the quotient modular group. We also prove that such automorphisms are not necessarily defined over . As a consequence of these results, we obtain the full automorphism group of the quotient modular curve , for sufficiently large .
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dc.description.sponsorship
The first author's work is supported by the Spanish State Research Agency through the Severo Ochoa and Maria de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M), alongside PID2020-116542GB-I00 and PID2024-159095NB-I00, Ministerio de Ciencia y Universidades of Spanish government. Some parts of the paper was written during the second author's visit to the Universitat Autonoma de Barcelona and the second author is grateful to the Department of Mathematics of Universitat Autonoma de Barcelona for its support and hospitality. First author is supported by PID2020-116542GB-I00, PID2024-159095NB-I00 and CEX2020-001084-M
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dc.format.extent
27 p.
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dc.language.iso
eng
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dc.publisher
Wiley
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dc.relation.ispartof
Mathematika
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dc.rights
Attribution-NonCommercial-NoDerivatives 4.0 International
*
dc.rights.uri
http://creativecommons.org/licenses/by-nc-nd/4.0/
*
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
modular automorphisms
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dc.title
The modular automorphisms of quotientmodular curves
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dc.type
info:eu-repo/semantics/article
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dc.subject.udc
51
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dc.description.version
info:eu-repo/semantics/publishedVersion
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dc.embargo.terms
cap
ca
dc.identifier.doi
10.1112/mtk.70065
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess


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