A theorem on zero cycles on surfaces

Descripción del Articulo

In this paper we prove a result on 0-cycles on surfaces as an application of the theorem on the kernel of the Gysin homomorphism of Chow groups of 0-cycles of degree zero induced by the embedding of a curve into a surface, and we study the connection of this result with Bloch’s conjecture and consta...

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Detalles Bibliográficos
Autores: Paucar Rojas, Rina Roxana, Schoemann, Claudia
Formato: artículo
Fecha de Publicación:2022
Institución:Universidad Nacional de Trujillo
Repositorio:Revistas - Universidad Nacional de Trujillo
Lenguaje:inglés
OAI Identifier:oai:ojs.revistas.unitru.edu.pe:article/4420
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4420
Nivel de acceso:acceso abierto
Materia:Zero-cycles
Chow groups
surfaces
constant cycle curves
general type surface
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spelling A theorem on zero cycles on surfacesPaucar Rojas, Rina RoxanaSchoemann, ClaudiaZero-cyclesChow groupssurfacesconstant cycle curvesgeneral type surfaceIn this paper we prove a result on 0-cycles on surfaces as an application of the theorem on the kernel of the Gysin homomorphism of Chow groups of 0-cycles of degree zero induced by the embedding of a curve into a surface, and we study the connection of this result with Bloch’s conjecture and constant cycles curves.National University of Trujillo - Academic Department of Mathematics2022-07-27info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/4420Selecciones Matemáticas; Vol. 9 No. 01 (2022): January - July; 161 - 166Selecciones Matemáticas; Vol. 9 Núm. 01 (2022): Enero - Julio; 161 - 166Selecciones Matemáticas; v. 9 n. 01 (2022): Janeiro - Julho; 161 - 1662411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUenghttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/4420/5002Derechos de autor 2022 Selecciones Matemáticashttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/44202022-07-27T15:32:31Z
dc.title.none.fl_str_mv A theorem on zero cycles on surfaces
title A theorem on zero cycles on surfaces
spellingShingle A theorem on zero cycles on surfaces
Paucar Rojas, Rina Roxana
Zero-cycles
Chow groups
surfaces
constant cycle curves
general type surface
title_short A theorem on zero cycles on surfaces
title_full A theorem on zero cycles on surfaces
title_fullStr A theorem on zero cycles on surfaces
title_full_unstemmed A theorem on zero cycles on surfaces
title_sort A theorem on zero cycles on surfaces
dc.creator.none.fl_str_mv Paucar Rojas, Rina Roxana
Schoemann, Claudia
author Paucar Rojas, Rina Roxana
author_facet Paucar Rojas, Rina Roxana
Schoemann, Claudia
author_role author
author2 Schoemann, Claudia
author2_role author
dc.subject.none.fl_str_mv Zero-cycles
Chow groups
surfaces
constant cycle curves
general type surface
topic Zero-cycles
Chow groups
surfaces
constant cycle curves
general type surface
description In this paper we prove a result on 0-cycles on surfaces as an application of the theorem on the kernel of the Gysin homomorphism of Chow groups of 0-cycles of degree zero induced by the embedding of a curve into a surface, and we study the connection of this result with Bloch’s conjecture and constant cycles curves.
publishDate 2022
dc.date.none.fl_str_mv 2022-07-27
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4420
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4420
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4420/5002
dc.rights.none.fl_str_mv Derechos de autor 2022 Selecciones Matemáticas
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2022 Selecciones Matemáticas
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
dc.source.none.fl_str_mv Selecciones Matemáticas; Vol. 9 No. 01 (2022): January - July; 161 - 166
Selecciones Matemáticas; Vol. 9 Núm. 01 (2022): Enero - Julio; 161 - 166
Selecciones Matemáticas; v. 9 n. 01 (2022): Janeiro - Julho; 161 - 166
2411-1783
reponame:Revistas - Universidad Nacional de Trujillo
instname:Universidad Nacional de Trujillo
instacron:UNITRU
instname_str Universidad Nacional de Trujillo
instacron_str UNITRU
institution UNITRU
reponame_str Revistas - Universidad Nacional de Trujillo
collection Revistas - Universidad Nacional de Trujillo
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 13.110079
A theorem on zero cycles on surfaces
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