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PreprintCC BY 4.0arXiv

Characterising canonical lifts of ordinary Calabi-Yau varieties

  • Samuel A. Moore
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Abstract

We study Brantner-Taelman's canonical lifts of ordinary Calabi-Yau varieties and characterise their (quasi)canonical lifts in terms of rational p-adic Hodge theoretic data. We also show that these canonical lifts need not be of CM type and that the associated local Galois representations need not split as sums of twists of unramified representations, in contrast to classical results for abelian varieties and K3 surfaces.

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Cite

BibTeXRIS
BibTeX
@misc{moore2026characterising,
  title = {{Characterising canonical lifts of ordinary Calabi-Yau varieties}},
  author = {Samuel A. Moore},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.35807},
  eprint = {2610.35807},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.35807},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Characterising canonical lifts of ordinary Calabi-Yau varieties
AU  - Samuel A. Moore
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.35807
UR  - https://arxiv.org/abs/2610.35807
AB  - We study Brantner-Taelman's canonical lifts of ordinary Calabi-Yau varieties and characterise their (quasi)canonical lifts in terms of rational p-adic Hodge theoretic data. We also show that these canonical lifts need not be of CM type and that the associated local Galois representations need not split as sums of twists of unramified representations, in contrast to classical results for abelian varieties and K3 surfaces.
ER  -