Invariant Functions on $p$-divisible Groups and the $p$-adic Corona Problem II

Behzad Nikzad, Christopher Deninger

arXiv:2608.11943v1 Primary: math.AG Secondary: math.NT

Abstract

This note removes the dimension one restriction of the main results in the paper with the same title by the second author.

Disclosure

“dimensions d = 1. In the next section, Theorem 2 will be deduced from the classical p-adic Corona Theorem. The genesis of this note is a bit unusual. The first author B.N. is an AI expert with a background in mathematics, who recently used ChatGPT to expand ideas c.f. [4] which he developed several years ago while working on his bachelor’s thesis. The prompt to look for applications then led AI to a proof of [2] Conjecture 11. The contribution of the second author – at the suggestio”
PDF page 2

Classification: Substantial proof generation
Multiplier: 10
Verified: 2026-08-23T05:11:22.151798Z

Structural counts

Pages 4 pdf

Theorems 2 source

Lemmas 0 source

Propositions 0 source

Corollaries 0 source

Definitions 0 source

Displayed equations 12 source

Bibliography entries 5 source

Appendix pages 0 estimated

Count notes

Source counts use the expanded primary TeX file invariant-functions+corona2-Arxiv.tex.
Appendix pages include the first PDF page with an explicit Appendix heading through the final page.