Good Grosshans filtration in a family

Abstract

We reprove the main result of our joint work [arXiv:0706.0604] with Srinivas, concerning finite Schur filtration dimension, but now with the base field replaced by a commutative noetherian ring k. This leads to finiteness results for the cohomology of a reductive group scheme G over k with coefficients in a finitely generated commutative k-algebra with G action.

21 pages. Final version. For clarity we shamelessly copy from arXiv:0706.0604

References in corpus (3)

• Power reductivity over an arbitrary base
• A reductive group with finitely generated cohomology algebras
• Finite Schur filtration dimension for modules over an algebra with Schur filtration

Cited by in corpus (1)

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