Skip to content
DraconiticResearch
Search Sources API
182,460 studies31 sourcesUpdated 39 min ago
PreprintCC BY 4.0arXiv

Integral Bott--Chern cohomology of Generalized Calabi--Eckmann threefolds

  • Federico Thiella
Open at sourcePDFDOICite

Abstract

We compute the integral Bott--Chern cohomology of a class of generalized Calabi--Eckmann manifolds of complex dimension 3. Although these manifolds are mutually non-biholomorphic, we show that their integral Bott--Chern cohomology rings are nevertheless isomorphic. A cohomological distinction is then obtained via a characteristic map in cohomology, connecting singular, Dolbeault, and integral Bott--Chern cohomologies.

Related

  1. Invariant complex structures on the Euclidean motion group as deformations of Calabi-Eckmann structures
    Neda Bokan, Srdjan Vukmirovic
    arXivPreprintCC BY-NC-SA 4.0Full textGeometry & topologyarXiv
  2. The Tate Conjecture for Ordinary Calabi-Yau Threefolds
    Lukas Brantner
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  3. Degeneration of Calabi-Yau threefolds with Galois action induced by modular form of weight 3
    Marcin Oczko
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  4. Stability conditions on Calabi-Yau threefolds of type K
    Uttaran Dutta
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  5. Rigid and obstructed tangent bundles on Calabi--Yau threefolds
    Xueyuan Wan
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv

Cite

BibTeXRIS
BibTeX
@misc{thiella2026integral,
  title = {{Integral Bott--Chern cohomology of Generalized Calabi--Eckmann threefolds}},
  author = {Federico Thiella},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.35625},
  eprint = {2609.35625},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.35625},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Integral Bott--Chern cohomology of Generalized Calabi--Eckmann threefolds
AU  - Federico Thiella
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.35625
UR  - https://arxiv.org/abs/2609.35625
AB  - We compute the integral Bott--Chern cohomology of a class of generalized Calabi--Eckmann manifolds of complex dimension 3. Although these manifolds are mutually non-biholomorphic, we show that their integral Bott--Chern cohomology rings are nevertheless isomorphic. A cohomological distinction is then obtained via a characteristic map in cohomology, connecting singular, Dolbeault, and integral Bott--Chern cohomologies.
ER  -