dc.contributor.author
Bars, F.
dc.contributor.author
Dalal, T.
dc.date.accessioned
2025-06-16T13:14:37Z
dc.date.available
2025-06-16T13:14:37Z
dc.date.issued
2025-06-15
dc.identifier.uri
http://hdl.handle.net/2072/484451
dc.description.abstract
In this article, we determine the automorphism group of all the quotient modular curves of the modular curve X0(pq), where p,q are two distinct primes. In obtaining such results, we provide different insights to compute the automorphism group for any quotient modular curve, which are very effective when the level of the curve is square-free. In particular, in the case where the level of the quotient curve is non square-free, we would mention that we present an unfamiliar automorphism of order 3 for the genus 4 curve X0⁎(25⋅11) defined over Q[5].
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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 Mar\u00EDa de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M), alongside PID2020-116542GB-I00, Ministerio de Ciencia y Universidades of Spanish government.
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dc.format.extent
45 p.
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dc.relation.ispartof
Journal of Algebra
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dc.rights
Attribution 4.0 International
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Atkin-Lehner involution
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dc.subject.other
Automorphism group
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dc.subject.other
Modular curve
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dc.subject.other
Petri's theorem
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dc.title
On the automorphism group of quotient modular curves
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/publishedVersion
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dc.identifier.doi
10.1016/j.jalgebra.2025.02.037
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
