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Cohomology of finite graded group varieties

2015/02/27 by Camil I. Aponte Román, Román, Camil I. Aponte, Alberto Chiecchio +1
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1502.07951

openalex publication_date 2015/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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