Mathematics – Algebraic Geometry
Scientific paper
2004-11-15
Annales de l'Institut Fourier vol.56 no.4 (2006), pp. 1225-1256
Mathematics
Algebraic Geometry
LATeX, 26 pages; added references, corrected typos
Scientific paper
In this paper, I construct noncompact analogs of the Chern classes of equivariant vector bundles over complex reductive groups. For the tangent bundle, these Chern classes yield an adjunction formula for the Euler characteristic of complete intersections in reductive groups. In the case where the complete intersection is a curve, this formula gives an explicit answer for the Euler characteristic and the genus of the curve.
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