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math.AG2015
Cohomology of finite graded group varieties
Camil I. Aponte Román, Alberto Chiecchio
We prove that, if is a positively graded, graded commutative, local, finite Hopf algebra, its cohomology is finitely generated, thus unifying classical results of Wilkerson and…
math.AG2014★ 1 cited
Graded 1-parameter subgroups and detection properties
Camil I. Aponte Román
We use tools of representation theory to get a better understanding of the cohomology of graded group schemes. For that, we focus our attention on the case in which the base field…
math.AG2014★ 1 cited
Graded Group Schemes and Graded Group Varieties
Camil I. Aponte Román
We define graded group schemes and graded group varieties and develop their theory. Graded group schemes are the graded analogue of group schemes and are in correspondence with gra…