Tohoku Mathematical Journal
2007
June
SECOND SERIES VOL. 59, NO. 2

Tohoku Math. J.
59 (2007), 203-231

Title EQUIVARIANT K-THEORY OF SMOOTH TORIC VARIETIES

Author Silvano Baggio

(Received February 9, 2005, revised November 1, 2006)
Abstract. We characterize the smooth toric varieties for which the Merkurjev spectral sequence, connecting equivariant and ordinary K-theory, degenerates. We find under which conditions on the support of the fan the $E^2$ terms of the spectral sequence are invariants by subdivisions of the fan. Assuming these conditions, we describe explicitly the $E^2$ terms, linking them to the reduced homology of the fan.

2000 Mathematics Subject Classification. Primary 14M25; Secondary 19E08.
Key words and phrases. Toric varieties, K-theory, sheaves on fan spaces.

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