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Determines automorphism groups in generalized spaces, suggesting important structural insights in geometry.
In this paper, we determine the automorphism groups of generalized Kausz compactifications Ts,p,n. By establishing the (semi-)positivity of the anticanonical bundles of Ts,p,n, we also determine the automorphism groups of generalized spaces of complete collineations Ms,p,n. The results in this paper are partially taken from the author’s earlier arxiv post (Canonical blow-ups of Grassmann manifolds, arxiv:2007.06200).
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Hanlong Fang (2026) studied this question.
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