English

Arithmetic BF theory and the Cassels-Tate pairing

Number Theory 2026-02-26 v2

Abstract

We give a systematic treatment of the arithmetic BF theory, introduced by Carlson and Kim. We observe that the Cassels-Tate pairing can be naturally interpreted as an arithmetic BF functional.

Cite

@article{arxiv.2602.19621,
  title  = {Arithmetic BF theory and the Cassels-Tate pairing},
  author = {Jeehoon Park and Junyeong Park},
  journal= {arXiv preprint arXiv:2602.19621},
  year   = {2026}
}

Comments

To appear in Mathematika (Minhyong Kim's 61st birthday conference volume)

R2 v1 2026-07-01T10:47:03.693Z