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math.AG2023
Essential dimension of reductive groups via generically free representations
Sanghoon Baek, Yeongjong Kim
We provide a simple method to compute upper bounds on the essential dimension of split reductive groups with finite or connected center by means of their generically free represent…
math.AG2023
Counter-examples to a conjecture of Karpenko for spin groups
Sanghoon Baek, Rostislav Devyatov
Consider the canonical morphism from the Chow ring of a smooth variety to the associated graded ring of the topological filtration on the Grothendieck ring of . In general,…