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PreprintCC BY 4.0arXiv

How to get an attractive model

Abstract

We give a fourth-order Calabi-Yau differential operator, which seems to have been missed by earlier tabulations. We draw attention to this operator because of its clear geometric interpretation and evidence that it possesses a rank-two attractor, conjecturally giving a new example of a Calabi-Yau threefold with modularity properties analogous to those of an elliptic curve over ℚ.

BibTeX
@misc{mcgovern2026attractive,
  title = {{How to get an attractive model}},
  author = {Joseph McGovern},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.35798},
  eprint = {2610.35798},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.35798},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - How to get an attractive model
AU  - Joseph McGovern
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.35798
UR  - https://arxiv.org/abs/2610.35798
AB  - We give a fourth-order Calabi-Yau differential operator, which seems to have been missed by earlier tabulations. We draw attention to this operator because of its clear geometric interpretation and evidence that it possesses a rank-two attractor, conjecturally giving a new example of a Calabi-Yau threefold with modularity properties analogous to those of an elliptic curve over ℚ.
ER  -