On rational chain connectedness of globally +-regular varieties
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908840493056000 |
|---|---|
| author | Özavcı, Emre Alp Patakfalvi, Zsolt Tucker, Kevin Waldron, Joe Xu, Zheng |
| author_facet | Özavcı, Emre Alp Patakfalvi, Zsolt Tucker, Kevin Waldron, Joe Xu, Zheng |
| contents | We prove that globally $+$-regular varieties are rationally chain connected in dimension three and mixed characteristic with residue field characteristic $p>5$. We also introduce a notion of strongly globally $+$-regular, and show that varieties of arbitrary dimension which are strongly globally $+$-regular over a dense open subset of $\mathrm{Spec}(\mathbb{Z})$ are rationally chain connected. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_16945 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On rational chain connectedness of globally +-regular varieties Özavcı, Emre Alp Patakfalvi, Zsolt Tucker, Kevin Waldron, Joe Xu, Zheng Algebraic Geometry 14M22, 14E30, 14G45 We prove that globally $+$-regular varieties are rationally chain connected in dimension three and mixed characteristic with residue field characteristic $p>5$. We also introduce a notion of strongly globally $+$-regular, and show that varieties of arbitrary dimension which are strongly globally $+$-regular over a dense open subset of $\mathrm{Spec}(\mathbb{Z})$ are rationally chain connected. |
| title | On rational chain connectedness of globally +-regular varieties |
| topic | Algebraic Geometry 14M22, 14E30, 14G45 |
| url | https://arxiv.org/abs/2602.16945 |