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arXiv · 2601.02768

The automorphism groups of generalized Kausz compactifications and spaces of complete collineations

Hanlong Fang
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Abstract

In this paper, we determine the automorphism groups of generalized Kausz compactifications $\mathcal T_{s,p,n}$. By establishing the (semi-)positivity of the anticanonical bundles of $\mathcal T_{s,p,n}$, we also determine the automorphism groups of generalized spaces of complete collineations $\mathcal M_{s,p,n}$. 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. 2026-01-06. The automorphism groups of generalized Kausz compactifications and spaces of complete collineations. https://arxiv.org/abs/2601.02768

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