Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
EQUIVARIANT K-THEORY OF SMOOTH TORIC VARIETIES
SILVANO BAGGIO
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2007 年 59 巻 2 号 p. 203-231

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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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© 2007 by THE TOHOKU UNIVERSITY
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