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arxiv: 1109.5822 · v3 · pith:6LGNENSNnew · submitted 2011-09-27 · 🧮 math.RT

Good Grosshans filtration in a family

classification 🧮 math.RT
keywords commutativefiltrationactionarxivbasecoefficientscohomologyconcerning
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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.

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