K-theory of cones of smooth varieties

Let R be the homogeneous coordinate ring of a smooth projective variety X over a field k of characteristic 0. We calculate the κ-theory of R in terms of the geometry of the projective embedding of X. In particular, if X is a curve, then we calculate K0(R) and K1(R), and prove that K-1(R) = H1 (C, 0(...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Cortiñas, Guillermo Horacio
Publicado: 2013
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10563911_v22_n1_p13_Cortinas
http://hdl.handle.net/20.500.12110/paper_10563911_v22_n1_p13_Cortinas
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10563911_v22_n1_p13_Cortinas
record_format dspace
spelling paper:paper_10563911_v22_n1_p13_Cortinas2023-06-08T16:03:17Z K-theory of cones of smooth varieties Cortiñas, Guillermo Horacio Let R be the homogeneous coordinate ring of a smooth projective variety X over a field k of characteristic 0. We calculate the κ-theory of R in terms of the geometry of the projective embedding of X. In particular, if X is a curve, then we calculate K0(R) and K1(R), and prove that K-1(R) = H1 (C, 0(n)). The formula for K0(R) involves the Zariski cohomology of twisted Kähler differentials on the variety. Fil:Cortiñas, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10563911_v22_n1_p13_Cortinas http://hdl.handle.net/20.500.12110/paper_10563911_v22_n1_p13_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 Let R be the homogeneous coordinate ring of a smooth projective variety X over a field k of characteristic 0. We calculate the κ-theory of R in terms of the geometry of the projective embedding of X. In particular, if X is a curve, then we calculate K0(R) and K1(R), and prove that K-1(R) = H1 (C, 0(n)). The formula for K0(R) involves the Zariski cohomology of twisted Kähler differentials on the variety.
author Cortiñas, Guillermo Horacio
spellingShingle Cortiñas, Guillermo Horacio
K-theory of cones of smooth varieties
author_facet Cortiñas, Guillermo Horacio
author_sort Cortiñas, Guillermo Horacio
title K-theory of cones of smooth varieties
title_short K-theory of cones of smooth varieties
title_full K-theory of cones of smooth varieties
title_fullStr K-theory of cones of smooth varieties
title_full_unstemmed K-theory of cones of smooth varieties
title_sort k-theory of cones of smooth varieties
publishDate 2013
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10563911_v22_n1_p13_Cortinas
http://hdl.handle.net/20.500.12110/paper_10563911_v22_n1_p13_Cortinas
work_keys_str_mv AT cortinasguillermohoracio ktheoryofconesofsmoothvarieties
_version_ 1768545238491594752

Ejemplares similares