Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.04336 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914113262714880 |
|---|---|
| author | Li, Zhiyuan Tang, Zhichao |
| author_facet | Li, Zhiyuan Tang, Zhichao |
| contents | In this paper, we prove that for any smooth hypersurface $Y$ of degree $d$ in $\mathbb{P}^{n+1}_k$, the cyclic $d$-fold cover $\widetilde{Y} \to \mathbb{P}^{n+1}_k$ branched along $Y$ completely characterizes $Y$ up to projective equivalence. This solves a question asked by Huybrechts in [Huy23, §1.5.6]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_04336 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Projective Equivalence of Smooth Hypersurfaces via Cyclic Covers Li, Zhiyuan Tang, Zhichao Algebraic Geometry 14J70, 14D20 In this paper, we prove that for any smooth hypersurface $Y$ of degree $d$ in $\mathbb{P}^{n+1}_k$, the cyclic $d$-fold cover $\widetilde{Y} \to \mathbb{P}^{n+1}_k$ branched along $Y$ completely characterizes $Y$ up to projective equivalence. This solves a question asked by Huybrechts in [Huy23, §1.5.6]. |
| title | Projective Equivalence of Smooth Hypersurfaces via Cyclic Covers |
| topic | Algebraic Geometry 14J70, 14D20 |
| url | https://arxiv.org/abs/2508.04336 |