The Equivariant Grothendieck Groups of the Russell-Koras Threefolds
Canadian journal of mathematics, Tome 53 (2001) no. 1, pp. 3-32

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The Russell-Koras contractible threefolds are the smooth affine threefolds having a hyperbolic ${{\mathbb{C}}^{*}}$ -action with quotient isomorphic to the corresponding quotient of the linear action on the tangent space at the unique fixed point. Koras and Russell gave a concrete description of all such threefolds and determined many interesting properties they possess. We use this description and these properties to compute the equivariant Grothendieck groups of these threefolds. In addition, we give certain equivariant invariants of these rings.
DOI : 10.4153/CJM-2001-001-x
Mots-clés : 14J30, 19L47
Bell, J. P. The Equivariant Grothendieck Groups of the Russell-Koras Threefolds. Canadian journal of mathematics, Tome 53 (2001) no. 1, pp. 3-32. doi: 10.4153/CJM-2001-001-x
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