arXiv:2410.16508v2
Counting rational approximations on rank one flag varieties
math.NTmath.DS11J8337A1737A25
Abstract
On a generalized flag variety of rank one, we count rational approximations to a real point chosen randomly according to the Riemannian volume. In particular, our results apply to Grassmann varieties and quadric hypersurfaces. The proof uses exponential mixing in the space of lattices and tools from geometry of numbers.
AI-generated audit
Audit summary
Not a correctness certificate. A green “no issues found” result may include yellow suspected typos or minor formal issues that do not affect substantive soundness. It means this audit found no unresolved substantive error under the stated criteria; it does not replace expert scrutiny or formal verification.
01StatementsNot yet audited
02ProofsNot yet audited
03NoveltyNot yet audited
No report has been generated for this paper in the local prototype.