Cohomological finite generation for the group scheme $S{L}_2$

Abstract

Let $G$ be the group scheme $S{L}_2$ defined over a noetherian ring $k$. If $G$ acts on a finitely generated commutative $k$-algebra $A$, then $H^{\ast }(G,A)$ is a finitely generated $k$-algebra.

8 pages

References in corpus (4)

• Bifunctor cohomology and Cohomological finite generation for reductive groups
• Power reductivity over an arbitrary base
• Universal classes for algebraic groups
• Good Grosshans filtration in a family