Tohoku Mathematical Journal
2008
December
SECOND SERIES VOL. 60, NO. 4

Tohoku Math. J.
60 (2008), 459-469

Title $K$-RINGS OF SMOOTH COMPLETE TORIC VARIETIES AND RELATED SPACES

Author Parameswaran Sankaran

(Received June 12, 2007, revised March 12, 2008)
Abstract. 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.

2000 Mathematics Subject Classification. Primary 55N15; Secondary 14M25.
Key words and phrases. $K$-theory, smooth complete toric varieties, torus manifolds.

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