arXiv Open Access 2024

Geometry of non-classical period domains

Kefeng Liu Yang Shen

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.AG

Penulis (2)

Kefeng Liu

Yang Shen

Format Sitasi

APA MLA BibTeX

Liu, K., Shen, Y. (2024). Geometry of non-classical period domains. https://arxiv.org/abs/2405.16536

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓