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Foliations with isolated singularities on Hirzebruch surfaces

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Foliations with isolated singularities on Hirzebruch surfaces

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dc.contributor.author Galindo Pastor, Carlos es_ES
dc.contributor.author Monserrat Delpalillo, Francisco José es_ES
dc.contributor.author Olivares, Jorge es_ES
dc.date.accessioned 2022-06-22T18:04:40Z
dc.date.available 2022-06-22T18:04:40Z
dc.date.issued 2021-10-10 es_ES
dc.identifier.issn 0933-7741 es_ES
dc.identifier.uri http://hdl.handle.net/10251/183574
dc.description.abstract [EN] We study foliations F on Hirzebruch surfaces Sd and prove that, similarly to those on the projective plane, any F can be represented by a bi-homogeneous polynomial affine 1-form. In case F has isolated singularities, we show that, for delta = 1, the singular scheme of F does determine the foliation, with some exceptions that we describe, as is the case of foliations in the projective plane. For delta not equal 1, we prove that the singular scheme of F does not determine the foliation. However, we prove that, in most cases, two foliations F and F' given by sections s and s' have the same singular scheme if and only if s' = Phi(s), for some global endomorphism F of the tangent bundle of S-delta. es_ES
dc.description.sponsorship The first two authors are partially supported by the Spanish Government MICINN/FEDER/AEI/UE, grants PGC2018-096446-B-C22 and RED2018-102583-T, as well as by Generalitat Valenciana, grant AICO2019-223 and Universitat Jaume I, grantUJI-2018-10. The third authorwas partially supported by CONACYT: Estancias Sabaticas Vinculadas a la Consolidacion de Grupos de Investigacion, CVU 10069. es_ES
dc.language Inglés es_ES
dc.publisher Walter de Gruyter GmbH es_ES
dc.relation.ispartof Forum Mathematicum es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Foliations on surfaces es_ES
dc.subject Singularities es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Foliations with isolated singularities on Hirzebruch surfaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1515/forum-2021-0135 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-096446-B-C22/ES/VALORACIONES, FOLIACIONES Y CODIGOS CORRECTORES DE ERRORES CUANTICOS/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//RED2018-102583-T/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//AICO2019-223/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UJI//UJI-2018-10/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/CONACYT//CVU 10069/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Galindo Pastor, C.; Monserrat Delpalillo, FJ.; Olivares, J. (2021). Foliations with isolated singularities on Hirzebruch surfaces. Forum Mathematicum. 33(6):1471-1486. https://doi.org/10.1515/forum-2021-0135 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1515/forum-2021-0135 es_ES
dc.description.upvformatpinicio 1471 es_ES
dc.description.upvformatpfin 1486 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 33 es_ES
dc.description.issue 6 es_ES
dc.relation.pasarela S\456196 es_ES
dc.contributor.funder Universitat Jaume I es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Educación y Ciencia e Innovación es_ES
dc.contributor.funder Consejo Nacional de Ciencia y Tecnología, México es_ES
dc.contributor.funder Ministerio de Ciencia, Innovación y Universidades es_ES
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