Geometry of non-classical period domains
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914812774055936 |
|---|---|
| author | Liu, Kefeng Shen, Yang |
| author_facet | Liu, Kefeng Shen, Yang |
| contents | In this paper we prove a conjecture of Griffiths about vanishing of the zeroth cohomology groups of locally homogeneous vector bundles on compact quotients of non-classical period domains, and construct a new $G_\R$-invariant complex structure on any non-classical period domain $D=G_\R/V$ with $G_\R$ of Hermitian type. Various geometric and algebraic characterizations of non-classical period domains and several geometric applications on their compact quotients are deduced as consequences of our results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_16536 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Geometry of non-classical period domains Liu, Kefeng Shen, Yang Algebraic Geometry In this paper we prove a conjecture of Griffiths about vanishing of the zeroth cohomology groups of locally homogeneous vector bundles on compact quotients of non-classical period domains, and construct a new $G_\R$-invariant complex structure on any non-classical period domain $D=G_\R/V$ with $G_\R$ of Hermitian type. Various geometric and algebraic characterizations of non-classical period domains and several geometric applications on their compact quotients are deduced as consequences of our results. |
| title | Geometry of non-classical period domains |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2405.16536 |