Cohomological finite generation for the group scheme SL2

W.L.J. van der Kallen

doi:10.1016/j.jalgebra.2013.05.030

Cohomological finite generation for the group scheme SL2

W.L.J. van der Kallen

Mathematical Institute

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

Let G be the group scheme SL2 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.

Original language	English
Pages (from-to)	216-220
Number of pages	5
Journal	Journal of Algebra
Volume	390
DOIs	https://doi.org/10.1016/j.jalgebra.2013.05.030
Publication status	Published - 2013

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title = "Cohomological finite generation for the group scheme SL2",

abstract = "Let G be the group scheme SL2 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.",

author = "\{van der Kallen\}, W.L.J.",

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doi = "10.1016/j.jalgebra.2013.05.030",

language = "English",

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journal = "Journal of Algebra",

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AU - van der Kallen, W.L.J.

PY - 2013

Y1 - 2013

N2 - Let G be the group scheme SL2 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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DO - 10.1016/j.jalgebra.2013.05.030

M3 - Article

SN - 0021-8693

VL - 390

SP - 216

EP - 220

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Cohomological finite generation for the group scheme SL2

Abstract

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