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Cohomological finite generation for the group scheme $SL_2$

Published 15 Jan 2013 in math.RT | (1301.3270v1)

Abstract: Let $G$ be the group scheme $SL_2$ defined over a noetherian ring $k$. If $G$ acts on a finitely generated commutative $k$-algebra $A$, then $H*(G,A)$ is a finitely generated $k$-algebra.

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