The automorphism groups of generalized Kausz compactifications and spaces of complete collineations
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911356432678912 |
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| author | Fang, Hanlong |
| author_facet | Fang, Hanlong |
| contents | 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). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_02768 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The automorphism groups of generalized Kausz compactifications and spaces of complete collineations Fang, Hanlong Complex Variables Algebraic Geometry 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). |
| title | The automorphism groups of generalized Kausz compactifications and spaces of complete collineations |
| topic | Complex Variables Algebraic Geometry |
| url | https://arxiv.org/abs/2601.02768 |