K-RINGS OF SMOOTH COMPLETE TORIC VARIETIES AND RELATED SPACES

摘要

The K-rings of non-singular complex projective varieties as well as quasitoric 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.