The Automorphism Groups of Generalized Kausz Compactifications and Spaces of Complete Collineations
Abstract
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).
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Geometry and complex manifolds
Advanced Algebra and Geometry
Publication details
- Journal / source
- International Mathematics Research Notices
- Volume
- 2026
- Issue
- 3
- Publication date
- 14 January 2026
- Language
- EN