Mathematics – Algebraic Geometry
Scientific paper
2004-10-17
Mathematics
Algebraic Geometry
27 pages; The proof of Lemma 4.4 is shorter; section 4.3 is new: now we can prove Prop. 2.3 without reference to Reisner's Thm
Scientific paper
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.
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