Cohomological finite generation for the group scheme SL₂
classification
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keywords
algebrafinitelygeneratedgroupschemeactscohomologicalcommutative
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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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