The stratification by automorphism groups of smooth plane sextic curves

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...

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Detalles Bibliográficos
Autores: Badr, Eslam, Bars, Francesc
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/482438
Acceso en línea:http://hdl.handle.net/2072/482438
Access Level:acceso abierto
Palabra clave:Plane curves
Automorphism groups
K3 surfaces
51
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spelling The stratification by automorphism groups of smooth plane sextic curvesBadr, EslamBars, FrancescPlane curvesAutomorphism groupsK3 surfaces51We 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.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).info:eu-repo/semantics/publishedVersionSpringer2025info:eu-repo/semantics/article44 p.application/pdfhttp://hdl.handle.net/2072/482438RECERCAT (Dipòsit de la Recerca de Catalunya)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésAnnali di Matematica Pura ed ApplicataAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:recercat.cat:2072/4824382026-05-29T05:05:01Z
dc.title.none.fl_str_mv The stratification by automorphism groups of smooth plane sextic curves
title The stratification by automorphism groups of smooth plane sextic curves
spellingShingle The stratification by automorphism groups of smooth plane sextic curves
Badr, Eslam
Plane curves
Automorphism groups
K3 surfaces
51
title_short The stratification by automorphism groups of smooth plane sextic curves
title_full The stratification by automorphism groups of smooth plane sextic curves
title_fullStr The stratification by automorphism groups of smooth plane sextic curves
title_full_unstemmed The stratification by automorphism groups of smooth plane sextic curves
title_sort The stratification by automorphism groups of smooth plane sextic curves
dc.creator.none.fl_str_mv Badr, Eslam
Bars, Francesc
author Badr, Eslam
author_facet Badr, Eslam
Bars, Francesc
author_role author
author2 Bars, Francesc
author2_role author
dc.subject.none.fl_str_mv Plane curves
Automorphism groups
K3 surfaces
51
topic Plane curves
Automorphism groups
K3 surfaces
51
description 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.
publishDate 2025
dc.date.none.fl_str_mv 2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/2072/482438
url http://hdl.handle.net/2072/482438
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Annali di Matematica Pura ed Applicata
dc.rights.none.fl_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 44 p.
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv RECERCAT (Dipòsit de la Recerca de Catalunya)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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