Gorenstein Fano Generic Torus Orbit closures in G/P
Resumen:
Given a reductive group G and a parabolic subgroup P⊂G, with maximaltorus T, we consider (following Dabrowski's work) the closure X of a generic T-orbit in G/P, and determine in combinatorial termswhen the toric variety X is Q-Gorenstein Fano, extending in this way the classification of smooth Fano generic closures given by Voskresenski\uı and Klyachko. As an application, we apply the well known correspondence between Gorenstein Fano toric varieties and reflexive polytopes in order to exhibit which reflexive polytopes correspond to generic closures -- this list includes the reflexive root polytopes.
| 2023 | |
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TORIC VARIETIES FLAG VARIETIES FANO VARIETIES ROOT SYSTEM |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/44885 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522810140033024 |
|---|---|
| author | Montagard, Pierre-Louis |
| author2 | Rittatore, Alvaro |
| author2_role | author |
| author_facet | Montagard, Pierre-Louis Rittatore, Alvaro |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Montagard Pierre-Louis Rittatore Alvaro, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática. |
| dc.creator.none.fl_str_mv | Montagard, Pierre-Louis Rittatore, Alvaro |
| dc.date.accessioned.none.fl_str_mv | 2024-07-24T12:23:23Z |
| dc.date.available.none.fl_str_mv | 2024-07-24T12:23:23Z |
| dc.date.issued.none.fl_str_mv | 2023 |
| dc.description.abstract.none.fl_txt_mv | Given a reductive group G and a parabolic subgroup P⊂G, with maximaltorus T, we consider (following Dabrowski's work) the closure X of a generic T-orbit in G/P, and determine in combinatorial termswhen the toric variety X is Q-Gorenstein Fano, extending in this way the classification of smooth Fano generic closures given by Voskresenski\uı and Klyachko. As an application, we apply the well known correspondence between Gorenstein Fano toric varieties and reflexive polytopes in order to exhibit which reflexive polytopes correspond to generic closures -- this list includes the reflexive root polytopes. |
| dc.description.es.fl_txt_mv | Versión permitida preprint. Publicado también en: Journal of Algebraic Combinatorics: An International Journal, 2023 57(2): 439 - 460. DOI: 10.1007/s10801-022-01198-z |
| dc.format.extent.es.fl_str_mv | 20 h. |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Montagard, P y Rittatore, A. "Gorenstein Fano Generic Torus Orbit closures in G/P" [Preprint]. Publicado en: Mathematics (Algebraic Geometry). arXiv:1803.04328, ene. 2023, pp.1-20. |
| dc.identifier.doi.none.fl_str_mv | 10.48550/arXiv.1803.04328 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/44885 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | arXiv |
| dc.relation.ispartof.es.fl_str_mv | Mathematics (Algebraic Geometry), arXiv:1803.04328, ene. 2023, pp.1-20 |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.subject.other.es.fl_str_mv | TORIC VARIETIES FLAG VARIETIES FANO VARIETIES ROOT SYSTEM |
| dc.title.none.fl_str_mv | Gorenstein Fano Generic Torus Orbit closures in G/P |
| dc.type.es.fl_str_mv | Preprint |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/preprint |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/submittedVersion |
| description | Versión permitida preprint. |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_7dc4c65ff1f46a739690bf72789a4352 |
| identifier_str_mv | Montagard, P y Rittatore, A. "Gorenstein Fano Generic Torus Orbit closures in G/P" [Preprint]. Publicado en: Mathematics (Algebraic Geometry). arXiv:1803.04328, ene. 2023, pp.1-20. 10.48550/arXiv.1803.04328 |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/44885 |
| publishDate | 2023 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| spelling | Montagard Pierre-LouisRittatore Alvaro, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática.2024-07-24T12:23:23Z2024-07-24T12:23:23Z2023Montagard, P y Rittatore, A. "Gorenstein Fano Generic Torus Orbit closures in G/P" [Preprint]. Publicado en: Mathematics (Algebraic Geometry). arXiv:1803.04328, ene. 2023, pp.1-20.https://hdl.handle.net/20.500.12008/4488510.48550/arXiv.1803.04328Versión permitida preprint.Publicado también en: Journal of Algebraic Combinatorics: An International Journal, 2023 57(2): 439 - 460. DOI: 10.1007/s10801-022-01198-zGiven a reductive group G and a parabolic subgroup P⊂G, with maximaltorus T, we consider (following Dabrowski's work) the closure X of a generic T-orbit in G/P, and determine in combinatorial termswhen the toric variety X is Q-Gorenstein Fano, extending in this way the classification of smooth Fano generic closures given by Voskresenski\uı and Klyachko. As an application, we apply the well known correspondence between Gorenstein Fano toric varieties and reflexive polytopes in order to exhibit which reflexive polytopes correspond to generic closures -- this list includes the reflexive root polytopes.Submitted by Egaña Florencia (florega@gmail.com) on 2024-07-23T19:01:52Z No. of bitstreams: 2 license_rdf: 25790 bytes, checksum: 489f03e71d39068f329bdec8798bce58 (MD5) 1803.04328v3.pdf: 586554 bytes, checksum: 199c78bc26b062e3a7b665b0ef2784db (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2024-07-24T12:05:35Z (GMT) No. of bitstreams: 2 license_rdf: 25790 bytes, checksum: 489f03e71d39068f329bdec8798bce58 (MD5) 1803.04328v3.pdf: 586554 bytes, checksum: 199c78bc26b062e3a7b665b0ef2784db (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2024-07-24T12:23:23Z (GMT). No. of bitstreams: 2 license_rdf: 25790 bytes, checksum: 489f03e71d39068f329bdec8798bce58 (MD5) 1803.04328v3.pdf: 586554 bytes, checksum: 199c78bc26b062e3a7b665b0ef2784db (MD5) Previous issue date: 202320 h.application/pdfenengarXivMathematics (Algebraic Geometry), arXiv:1803.04328, ene. 2023, pp.1-20Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)TORIC VARIETIESFLAG VARIETIESFANO VARIETIESROOT SYSTEMGorenstein Fano Generic Torus Orbit closures in G/PPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaMontagard, Pierre-LouisRittatore, AlvaroLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/44885/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/44885/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; charset=utf-822527http://localhost:8080/xmlui/bitstream/20.500.12008/44885/3/license_textdf0749cf944f9d2754bc76e8ce56250cMD53license_rdflicense_rdfapplication/rdf+xml; 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- Universidad de la Repúblicafalse |
| spellingShingle | Gorenstein Fano Generic Torus Orbit closures in G/P Montagard, Pierre-Louis TORIC VARIETIES FLAG VARIETIES FANO VARIETIES ROOT SYSTEM |
| status_str | submittedVersion |
| title | Gorenstein Fano Generic Torus Orbit closures in G/P |
| title_full | Gorenstein Fano Generic Torus Orbit closures in G/P |
| title_fullStr | Gorenstein Fano Generic Torus Orbit closures in G/P |
| title_full_unstemmed | Gorenstein Fano Generic Torus Orbit closures in G/P |
| title_short | Gorenstein Fano Generic Torus Orbit closures in G/P |
| title_sort | Gorenstein Fano Generic Torus Orbit closures in G/P |
| topic | TORIC VARIETIES FLAG VARIETIES FANO VARIETIES ROOT SYSTEM |
| url | https://hdl.handle.net/20.500.12008/44885 |
