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Dolbeault cohomology of Endo-Pajitnov manifolds
Abstract
Endo-Pajitnov manifolds are compact non-Kähler manifolds which generalize the Inoue surfaces SM to higher dimensions. In this paper, we compute their Dolbeault cohomology, show that they satisfy the Hodge decomposition at the level of dimensions and prove that they are rigid with respect to small deformations.
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BibTeX
@misc{ornea2026dolbeault,
title = {{Dolbeault cohomology of Endo-Pajitnov manifolds}},
author = {Liviu Ornea and Miron Stanciu},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2606.29408},
eprint = {2606.29408},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.29408},
}
RIS
TY - UNPB
TI - Dolbeault cohomology of Endo-Pajitnov manifolds
AU - Liviu Ornea
AU - Miron Stanciu
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2606.29408
UR - https://arxiv.org/abs/2606.29408
AB - Endo-Pajitnov manifolds are compact non-Kähler manifolds which generalize the Inoue surfaces S_M to higher dimensions. In this paper, we compute their Dolbeault cohomology, show that they satisfy the Hodge decomposition at the level of dimensions and prove that they are rigid with respect to small deformations.
ER -