Year: 2024
Type: article
Abstract: We show that there are infinitely many counterexamples to Minkowski's conjecture in positive characteristic regarding uniqueness of the upper bound of the multiplicative covering radius, $μ$, by constructing a sequence of compact $A$ orbits where $μ$ obtains its conjectured upper bound. In addition, we show that these orbits, as well as a slightly larger sequence of orbits, must exhibit complete escape of mass.
Source: Combinatorics and Number Theory
Author: Noy Soffer Aranov
Institution: Technion – Israel Institute of Technology
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4401648171