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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
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
Año:2014
Volumen:7
Número:1
Página de inicio:247
Página de fin:286
DOI: http://dx.doi.org/10.1112/jtopol/jtt026
Título revista:Journal of Topology
Título revista abreviado:J. Topol.
ISSN:17538416
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