Complete subvarieties in the projectivized strata of meromorphic differentials
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917277351280640 |
|---|---|
| author | Chen, Dawei Tahar, Guillaume |
| author_facet | Chen, Dawei Tahar, Guillaume |
| contents | Here we give an explicit construction of a globally defined strictly plurisubharmonic function on projectivized strata of strictly meromorphic differentials with prescribed orders of zeros and poles. In particular, this yields a flat-geometric proof that these strata do not contain positive-dimensional complete subvarieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_07102 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Complete subvarieties in the projectivized strata of meromorphic differentials Chen, Dawei Tahar, Guillaume Algebraic Geometry Geometric Topology Here we give an explicit construction of a globally defined strictly plurisubharmonic function on projectivized strata of strictly meromorphic differentials with prescribed orders of zeros and poles. In particular, this yields a flat-geometric proof that these strata do not contain positive-dimensional complete subvarieties. |
| title | Complete subvarieties in the projectivized strata of meromorphic differentials |
| topic | Algebraic Geometry Geometric Topology |
| url | https://arxiv.org/abs/2511.07102 |