Quantum arithmetic of Drinfeld modules

Fuente: arXiv
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Main Author: Nikolaev, Igor V.
Format: Preprint
Published: 2025
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author Nikolaev, Igor V.
author_facet Nikolaev, Igor V.
contents We study the quantum invariants of projective varieties over the number fields. Namely, explicit formulas for a functor $\mathscr{Q}$ on such varieties are proved. The case of abelian varieties with complex multiplication is treated in detail.
format Preprint
id arxiv_https___arxiv_org_abs_2509_01818
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum arithmetic of Drinfeld modules
Nikolaev, Igor V.
Number Theory
Operator Algebras
11M55, 46L85
We study the quantum invariants of projective varieties over the number fields. Namely, explicit formulas for a functor $\mathscr{Q}$ on such varieties are proved. The case of abelian varieties with complex multiplication is treated in detail.
title Quantum arithmetic of Drinfeld modules
topic Number Theory
Operator Algebras
11M55, 46L85
url https://arxiv.org/abs/2509.01818