Toric varieties, monoid schemes and cdh descent

Autores
Cortiñas, Guillermo Horacio; Haesemeyer, Christian; Walker, Mark E.; Weibel, Charles A.
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We give conditions for the Mayer-Vietoris property to hold for the algebraic K-theory of blow-up squares of toric varieties in any characteristic, using the theory of monoid schemes. These conditions are used to relate algebraic K-theory to topological cyclic homology in characteristic p. To achieve our goals, we develop for monoid schemes many notions from classical algebraic geometry, such as separated and proper maps.
Fil: Cortiñas, Guillermo Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Haesemeyer, Christian. University Of California At Los Angeles; Estados Unidos
Fil: Walker, Mark E.. University Of Nebraska; Estados Unidos
Fil: Weibel, Charles A.. Rutgers University; Estados Unidos
Materia
Toric Varieties
Schemes Over the Field With One Element
K-Theory
Cyclotomic Trace
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/14842
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/14842
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Toric varieties, monoid schemes and cdh descentCortiñas, Guillermo HoracioHaesemeyer, ChristianWalker, Mark E.Weibel, Charles A.Toric VarietiesSchemes Over the Field With One ElementK-TheoryCyclotomic Tracehttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We give conditions for the Mayer-Vietoris property to hold for the algebraic K-theory of blow-up squares of toric varieties in any characteristic, using the theory of monoid schemes. These conditions are used to relate algebraic K-theory to topological cyclic homology in characteristic p. To achieve our goals, we develop for monoid schemes many notions from classical algebraic geometry, such as separated and proper maps.Fil: Cortiñas, Guillermo Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; ArgentinaFil: Haesemeyer, Christian. University Of California At Los Angeles; Estados UnidosFil: Walker, Mark E.. University Of Nebraska; Estados UnidosFil: Weibel, Charles A.. Rutgers University; Estados Unidosde Gruyter2013-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/14842Cortiñas, Guillermo Horacio; Haesemeyer, Christian; Walker, Mark E.; Weibel, Charles A.; Toric varieties, monoid schemes and cdh descent; de Gruyter; Journal Fur Die Reine Und Angewandte Mathematik; 2015; 698; 4-2013; 1-500075-4102enginfo:eu-repo/semantics/altIdentifier/url/http://www.degruyter.com/view/j/crelle.ahead-of-print/crelle-2012-0123/crelle-2012-0123.xmlinfo:eu-repo/semantics/altIdentifier/doi/10.1515/crelle-2012-0123info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:09:17Zoai:ri.conicet.gov.ar:11336/14842instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-10 13:09:17.316CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Toric varieties, monoid schemes and cdh descent
title Toric varieties, monoid schemes and cdh descent
spellingShingle Toric varieties, monoid schemes and cdh descent
Cortiñas, Guillermo Horacio
Toric Varieties
Schemes Over the Field With One Element
K-Theory
Cyclotomic Trace
title_short Toric varieties, monoid schemes and cdh descent
title_full Toric varieties, monoid schemes and cdh descent
title_fullStr Toric varieties, monoid schemes and cdh descent
title_full_unstemmed Toric varieties, monoid schemes and cdh descent
title_sort Toric varieties, monoid schemes and cdh descent
dc.creator.none.fl_str_mv Cortiñas, Guillermo Horacio
Haesemeyer, Christian
Walker, Mark E.
Weibel, Charles A.
author Cortiñas, Guillermo Horacio
author_facet Cortiñas, Guillermo Horacio
Haesemeyer, Christian
Walker, Mark E.
Weibel, Charles A.
author_role author
author2 Haesemeyer, Christian
Walker, Mark E.
Weibel, Charles A.
author2_role author
author
author
dc.subject.none.fl_str_mv Toric Varieties
Schemes Over the Field With One Element
K-Theory
Cyclotomic Trace
topic Toric Varieties
Schemes Over the Field With One Element
K-Theory
Cyclotomic Trace
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We give conditions for the Mayer-Vietoris property to hold for the algebraic K-theory of blow-up squares of toric varieties in any characteristic, using the theory of monoid schemes. These conditions are used to relate algebraic K-theory to topological cyclic homology in characteristic p. To achieve our goals, we develop for monoid schemes many notions from classical algebraic geometry, such as separated and proper maps.
Fil: Cortiñas, Guillermo Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Haesemeyer, Christian. University Of California At Los Angeles; Estados Unidos
Fil: Walker, Mark E.. University Of Nebraska; Estados Unidos
Fil: Weibel, Charles A.. Rutgers University; Estados Unidos
description We give conditions for the Mayer-Vietoris property to hold for the algebraic K-theory of blow-up squares of toric varieties in any characteristic, using the theory of monoid schemes. These conditions are used to relate algebraic K-theory to topological cyclic homology in characteristic p. To achieve our goals, we develop for monoid schemes many notions from classical algebraic geometry, such as separated and proper maps.
publishDate 2013
dc.date.none.fl_str_mv 2013-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/14842
Cortiñas, Guillermo Horacio; Haesemeyer, Christian; Walker, Mark E.; Weibel, Charles A.; Toric varieties, monoid schemes and cdh descent; de Gruyter; Journal Fur Die Reine Und Angewandte Mathematik; 2015; 698; 4-2013; 1-50
0075-4102
url http://hdl.handle.net/11336/14842
identifier_str_mv Cortiñas, Guillermo Horacio; Haesemeyer, Christian; Walker, Mark E.; Weibel, Charles A.; Toric varieties, monoid schemes and cdh descent; de Gruyter; Journal Fur Die Reine Und Angewandte Mathematik; 2015; 698; 4-2013; 1-50
0075-4102
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.degruyter.com/view/j/crelle.ahead-of-print/crelle-2012-0123/crelle-2012-0123.xml
info:eu-repo/semantics/altIdentifier/doi/10.1515/crelle-2012-0123
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv de Gruyter
publisher.none.fl_str_mv de Gruyter
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.993085

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