Reductive group actions with one-dimensional quotient
Hanspeter Kraft, Gerald W. Schwarz (1992)
Publications Mathématiques de l'IHÉS
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Hanspeter Kraft, Gerald W. Schwarz (1992)
Publications Mathématiques de l'IHÉS
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Krzysztof Pawałowski (1996)
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Teleman, Constantin (2000)
Annals of Mathematics. Second Series
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Dan Burghelea, Reinhard Schultz (1975)
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A. Minatta, R. Piccinini, M. Spreafico (2003)
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Valentina Kiritchenko (2006)
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In this paper, I construct noncompact analogs of the Chern classes for equivariant vector bundles over complex reductive groups. For the tangent bundle, these Chern classes yield an adjunction formula for the (topological) Euler characteristic of complete intersections in reductive groups. In the case where a complete intersection is a curve, this formula gives an explicit answer for the Euler characteristic and the genus of the curve. I also prove that the higher Chern classes vanish....
Franz W. Kamber, Philippe Tondeur (1975)
Annales scientifiques de l'École Normale Supérieure
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