English

Quantum arithmetic of Drinfeld modules

Number Theory 2026-03-12 v2 Operator Algebras

Abstract

We study the quantum invariants of projective varieties over the number fields. Namely, explicit formulas for a functor Q\mathscr{Q} on such varieties are proved. The case of abelian varieties with complex multiplication is treated in detail.

Keywords

Cite

@article{arxiv.2509.01818,
  title  = {Quantum arithmetic of Drinfeld modules},
  author = {Igor V. Nikolaev},
  journal= {arXiv preprint arXiv:2509.01818},
  year   = {2026}
}

Comments

to appear in Constructive Mathematical Analysis

R2 v1 2026-07-01T05:16:19.420Z