Split Nakamura manifolds and their automorphisms
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866913072854073344 |
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| author | Cattaneo, Andrea |
| author_facet | Cattaneo, Andrea |
| contents | In this paper we study the class of \emph{split Nakamura manifolds}, which are a type of solvmanifolds generalizing Nakamura's threefold, defined as quotients of the semidirect product $\mathbb{C}^n \rtimes_ρ\mathbb{C}$ by a lattice. We discuss their de Rham and Dolbeault cohomology, with emphasis on the degeneration of the Frölicher spectral sequence and the $\partial\bar{\partial}$-Lemma, and their deformations. Finally, we describe their automorphism group in detail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_26611 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Split Nakamura manifolds and their automorphisms Cattaneo, Andrea Differential Geometry Primary 32M10, Secondary 32C35, 32Q60, 32G05 In this paper we study the class of \emph{split Nakamura manifolds}, which are a type of solvmanifolds generalizing Nakamura's threefold, defined as quotients of the semidirect product $\mathbb{C}^n \rtimes_ρ\mathbb{C}$ by a lattice. We discuss their de Rham and Dolbeault cohomology, with emphasis on the degeneration of the Frölicher spectral sequence and the $\partial\bar{\partial}$-Lemma, and their deformations. Finally, we describe their automorphism group in detail. |
| title | Split Nakamura manifolds and their automorphisms |
| topic | Differential Geometry Primary 32M10, Secondary 32C35, 32Q60, 32G05 |
| url | https://arxiv.org/abs/2604.26611 |