Abstract:
We show that if X is a toric scheme over a regular ring containing a field of finite characteristic, then the direct limit of the K-groups of X taken over any infinite sequence of non-trivial dilations is homotopy invariant. This theorem was known in characteristic 0. The affine case of our result was conjectured by Gubeladze. © 2013 London Mathematical Society.
Registro:
Documento: |
Artículo
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Título: | The K-theory of toric varieties in positive characteristic |
Autor: | Cortiñas, G.; Haesemeyer, C.; Walker, M.E.; Weibel, C. |
Filiación: | Dept. Matemática-Inst. Santaló, FCEyN Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina Department of Mathematics, University of California, Los Angeles, CA 90095., United States Department of Mathematics, University of Nebraska - Lincoln, Lincoln, NE 68588, United States Department of Mathematics, Rutgers University, New Brunswick, NJ 08901, United States
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Año: | 2014
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Volumen: | 7
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Número: | 1
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Página de inicio: | 247
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Página de fin: | 286
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DOI: |
http://dx.doi.org/10.1112/jtopol/jtt026 |
Título revista: | Journal of Topology
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Título revista abreviado: | J. Topol.
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ISSN: | 17538416
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17538416_v7_n1_p247_Cortinas |
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Citas:
---------- APA ----------
Cortiñas, G., Haesemeyer, C., Walker, M.E. & Weibel, C.
(2014)
. The K-theory of toric varieties in positive characteristic. Journal of Topology, 7(1), 247-286.
http://dx.doi.org/10.1112/jtopol/jtt026---------- CHICAGO ----------
Cortiñas, G., Haesemeyer, C., Walker, M.E., Weibel, C.
"The K-theory of toric varieties in positive characteristic"
. Journal of Topology 7, no. 1
(2014) : 247-286.
http://dx.doi.org/10.1112/jtopol/jtt026---------- MLA ----------
Cortiñas, G., Haesemeyer, C., Walker, M.E., Weibel, C.
"The K-theory of toric varieties in positive characteristic"
. Journal of Topology, vol. 7, no. 1, 2014, pp. 247-286.
http://dx.doi.org/10.1112/jtopol/jtt026---------- VANCOUVER ----------
Cortiñas, G., Haesemeyer, C., Walker, M.E., Weibel, C. The K-theory of toric varieties in positive characteristic. J. Topol. 2014;7(1):247-286.
http://dx.doi.org/10.1112/jtopol/jtt026