dc.contributor.author
Badr, Eslam
dc.contributor.author
Bars, Francesc
dc.date.accessioned
2025-03-12T14:02:07Z
dc.date.available
2025-03-12T14:02:07Z
dc.date.issued
2025-02-15
dc.identifier.uri
http://hdl.handle.net/2072/482438
dc.description.abstract
We obtain the list of automorphism groups for smooth plane sextic curves over an algebraically closed field K of characteristic p=0 or p>21. Moreover, we assign to each group a geometrically complete family overK that describe the corresponding stratum, that is, a generic polynomial equation with parameters such that any curve in the stratum is K-isomorphic to a smooth plane model obtained by specializing the values of those parameters in K. Additionally, we explore the connection with K3 surfaces of degree 2.
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dc.description.sponsorship
This 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, Ministerio de Ciencia y Universidades of Spanish government. Additionally, E. Badr received partial support from the School of Science and Engineering (SSE) at the American University in Cairo (AUC).
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dc.format.extent
44 p.
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dc.relation.ispartof
Annali di Matematica Pura ed Applicata
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dc.rights
Attribution 4.0 International
*
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
Plane curves
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dc.subject.other
Automorphism groups
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dc.subject.other
K3 surfaces
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dc.title
The stratification by automorphism groups of smooth plane sextic 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
10.1007/s10231-025-01558-z
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
