Local description of phylogenetic group-based models

Motivated by phylogenetics, our aim is to obtain a system of equations that de ne a phylogenetic variety on an open set containing the biologically meaningful points. In this paper we consider phylogenetic varieties de ned via group-based models. For any nite abelian group G, we provide an explicit...

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Detalles Bibliográficos
Autores: Casanellas Rius, Marta|||0000-0002-1724-8358, Fernández Sánchez, Jesús|||0000-0002-7062-8042, Michalek, Mateusz
Tipo de recurso: informe técnico
Fecha de publicación:2013
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/22383
Acceso en línea:https://hdl.handle.net/2117/22383
Access Level:acceso abierto
Palabra clave:Phylogeny
Algebra
Group theory
group-based model
phylogenetic invariant
toric variety
Filogènia
Àlgebra
Grups, Teoria de
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
Àrees temàtiques de la UPC::Ciències de la salut
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oai_identifier_str oai:upcommons.upc.edu:2117/22383
network_acronym_str ES
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repository_id_str
spelling Local description of phylogenetic group-based modelsCasanellas Rius, Marta|||0000-0002-1724-8358Fernández Sánchez, Jesús|||0000-0002-7062-8042Michalek, MateuszPhylogenyAlgebraGroup theorygroup-based modelphylogenetic invarianttoric varietyFilogèniaÀlgebraGrups, Teoria deÀrees temàtiques de la UPC::Matemàtiques i estadística::ÀlgebraÀrees temàtiques de la UPC::Ciències de la salutMotivated by phylogenetics, our aim is to obtain a system of equations that de ne a phylogenetic variety on an open set containing the biologically meaningful points. In this paper we consider phylogenetic varieties de ned via group-based models. For any nite abelian group G, we provide an explicit construction of codimX phylogenetic invariants (polynomial equations) of degree at most jGj that de ne the variety X on a Zariski open set U. The set U contains all biologically meaningful points when G is the group of the Kimura 3-parameter model. In particular, our main result con rms [Mic12, Conjecture 7.9] and, on the set U, Conjectures 29 and 30 of [SS05].20132013-12-0120142014-03-25reporthttp://purl.org/coar/resource_type/c_93fcAOhttp://purl.org/coar/version/c_b1a7d7d4d402bcceinfo:eu-repo/semantics/reportapplication/pdfhttps://hdl.handle.net/2117/22383reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/223832026-05-27T15:37:01Z
dc.title.none.fl_str_mv Local description of phylogenetic group-based models
title Local description of phylogenetic group-based models
spellingShingle Local description of phylogenetic group-based models
Casanellas Rius, Marta|||0000-0002-1724-8358
Phylogeny
Algebra
Group theory
group-based model
phylogenetic invariant
toric variety
Filogènia
Àlgebra
Grups, Teoria de
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
Àrees temàtiques de la UPC::Ciències de la salut
title_short Local description of phylogenetic group-based models
title_full Local description of phylogenetic group-based models
title_fullStr Local description of phylogenetic group-based models
title_full_unstemmed Local description of phylogenetic group-based models
title_sort Local description of phylogenetic group-based models
dc.creator.none.fl_str_mv Casanellas Rius, Marta|||0000-0002-1724-8358
Fernández Sánchez, Jesús|||0000-0002-7062-8042
Michalek, Mateusz
author Casanellas Rius, Marta|||0000-0002-1724-8358
author_facet Casanellas Rius, Marta|||0000-0002-1724-8358
Fernández Sánchez, Jesús|||0000-0002-7062-8042
Michalek, Mateusz
author_role author
author2 Fernández Sánchez, Jesús|||0000-0002-7062-8042
Michalek, Mateusz
author2_role author
author
dc.subject.none.fl_str_mv Phylogeny
Algebra
Group theory
group-based model
phylogenetic invariant
toric variety
Filogènia
Àlgebra
Grups, Teoria de
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
Àrees temàtiques de la UPC::Ciències de la salut
topic Phylogeny
Algebra
Group theory
group-based model
phylogenetic invariant
toric variety
Filogènia
Àlgebra
Grups, Teoria de
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
Àrees temàtiques de la UPC::Ciències de la salut
description Motivated by phylogenetics, our aim is to obtain a system of equations that de ne a phylogenetic variety on an open set containing the biologically meaningful points. In this paper we consider phylogenetic varieties de ned via group-based models. For any nite abelian group G, we provide an explicit construction of codimX phylogenetic invariants (polynomial equations) of degree at most jGj that de ne the variety X on a Zariski open set U. The set U contains all biologically meaningful points when G is the group of the Kimura 3-parameter model. In particular, our main result con rms [Mic12, Conjecture 7.9] and, on the set U, Conjectures 29 and 30 of [SS05].
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-12-01
2014
2014-03-25
dc.type.none.fl_str_mv report
http://purl.org/coar/resource_type/c_93fc
AO
http://purl.org/coar/version/c_b1a7d7d4d402bcce
dc.type.openaire.fl_str_mv info:eu-repo/semantics/report
format report
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/22383
url https://hdl.handle.net/2117/22383
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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