The $K$-rings of non-singular complex projective varieties as well as quasi-toric manifolds were described in terms of generators and relations in earlier work of the author with V. Uma. In this paper we obtain a similar description for the more general class of torus manifolds with locally standard torus action and orbit space a homology polytope, which includes the class of all smooth complete complex toric varieties.
@article{1232376162,
author = {Sankaran, Parameswaran},
title = {$K$-rings of smooth complete toric varieties and related spaces},
journal = {Tohoku Math. J. (2)},
volume = {60},
number = {1},
year = {2008},
pages = { 459-469},
language = {en},
url = {http://dml.mathdoc.fr/item/1232376162}
}
Sankaran, Parameswaran. $K$-rings of smooth complete toric varieties and related spaces. Tohoku Math. J. (2), Tome 60 (2008) no. 1, pp. 459-469. http://gdmltest.u-ga.fr/item/1232376162/