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arxiv: 1502.07951 · v1 · pith:QEVBQWK3new · submitted 2015-02-27 · 🧮 math.AG · math.AC· math.RT

Cohomology of finite graded group varieties

classification 🧮 math.AG math.ACmath.RT
keywords gradedcohomologyfinitealgebraclassicalcommutativeconormalelementary
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We prove that, if $A$ is a positively graded, graded commutative, local, finite Hopf algebra, its cohomology is finitely generated, thus unifying classical results of Wilkerson and Hopkins-Smith, and of Friedlander-Suslin. We do this by showing the existence of conormal elementary quotients.

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