7 citations · 14 across the 19 of their papers we have counts for
21 papers
The Chow Characteristic Image of \(\Spin(10)\) via the Affine Cone over the Spinor Variety
Sanghoon Baek
Let \(G=\Spin(10)\) be the split spin group over a field of characteristic different from \(2\), and let \(T\subset G\) be a split maximal torus. We determine the image of the inte…
Integral Weyl Invariants in Chow Characteristic Images of Spin and Special Clifford Groups
Sanghoon Baek
Let $G=\Spin(n)$ be the split spin group over an arbitrary field, with . Extending a Steenrod-theoretic obstruction of Karpenko, we classify the recursively defined integral…
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…
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,…
Essential dimension of semisimple groups of type
Sanghoon Baek, Yeongjong Kim
We determine the essential dimension of an arbitrary semisimple group of type of the form \[G=\big(\operatorname{\mathbf{Spin}}(2n_{1}+1)\times\cdots \times \operatorname{\math…
Maximal orthogonal grassmannians of quadratic forms of dimensions up to
Sanghoon Baek
Let be a connected component of the maximal orthogonal grassmannian of a generic -dimensional quadratic form with trivial Clifford invariant. Consider the canonical epim…