Toric varieties, monoid schemes and cdh descent

We give conditions for the Mayer-Vietoris property to hold for the algebraic K-theory of blow-up squares of toric varieties and schemes, 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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Cortiñas, G., Haesemeyer, C., Walker, M.E., Weibel, C.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00754102_v_n698_p1_Cortinas
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00754102_v_n698_p1_Cortinas
record_format dspace
spelling todo:paper_00754102_v_n698_p1_Cortinas2023-10-03T14:53:57Z Toric varieties, monoid schemes and cdh descent Cortiñas, G. Haesemeyer, C. Walker, M.E. Weibel, C. We give conditions for the Mayer-Vietoris property to hold for the algebraic K-theory of blow-up squares of toric varieties and schemes, 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 many notions for monoid schemes based on classical algebraic geometry, such as separated and proper maps and resolution of singularities. © De Gruyter 2015. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00754102_v_n698_p1_Cortinas
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We give conditions for the Mayer-Vietoris property to hold for the algebraic K-theory of blow-up squares of toric varieties and schemes, 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 many notions for monoid schemes based on classical algebraic geometry, such as separated and proper maps and resolution of singularities. © De Gruyter 2015.
format JOUR
author Cortiñas, G.
Haesemeyer, C.
Walker, M.E.
Weibel, C.
spellingShingle Cortiñas, G.
Haesemeyer, C.
Walker, M.E.
Weibel, C.
Toric varieties, monoid schemes and cdh descent
author_facet Cortiñas, G.
Haesemeyer, C.
Walker, M.E.
Weibel, C.
author_sort Cortiñas, G.
title Toric varieties, monoid schemes and cdh descent
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
url http://hdl.handle.net/20.500.12110/paper_00754102_v_n698_p1_Cortinas
work_keys_str_mv AT cortinasg toricvarietiesmonoidschemesandcdhdescent
AT haesemeyerc toricvarietiesmonoidschemesandcdhdescent
AT walkerme toricvarietiesmonoidschemesandcdhdescent
AT weibelc toricvarietiesmonoidschemesandcdhdescent
_version_ 1807324352088113152

Ejemplares similares