PreprintCC BY 4.0arXiv
The Tate Conjecture for Ordinary Calabi-Yau Threefolds
Abstract
We use the theory of canonical lifts to prove the integral geometric Tate conjecture for ordinary Calabi-Yau threefolds over finite fields, and also for divisor classes on certain ordinary Calabi-Yau varieties.
Related
- Integral Bott--Chern cohomology of Generalized Calabi--Eckmann threefolds
- Degeneration of Calabi-Yau threefolds with Galois action induced by modular form of weight 3
- Characterising canonical lifts of ordinary Calabi-Yau varieties
- Stability conditions on Calabi-Yau threefolds of type K
- Rigid and obstructed tangent bundles on Calabi--Yau threefolds
BibTeX
@misc{brantner2026tate,
title = {{The Tate Conjecture for Ordinary Calabi-Yau Threefolds}},
author = {Lukas Brantner},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.13939},
eprint = {2610.13939},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.13939},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The Tate Conjecture for Ordinary Calabi-Yau Threefolds
AU - Lukas Brantner
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2610.13939
UR - https://arxiv.org/abs/2610.13939
AB - We use the theory of canonical lifts to prove the integral geometric Tate conjecture for ordinary Calabi-Yau threefolds over finite fields, and also for divisor classes on certain ordinary Calabi-Yau varieties.
ER -