PreprintCC BY 4.0arXiv
Quantitative Oppenheim in signature (2,2) via determinant values
Abstract
We give a new proof of the quantitative Oppenheim theorem in signature (2,2), originally proved by Eskin-Margulis-Mozes, by recasting the problem as one about determinant values on lattices in M2(ℝ).
Related
- Determinant values on lattices
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- The Cartan determinant conjecture for representation-finite Artin algebras
BibTeX
@misc{kim2026quantitative,
title = {{Quantitative Oppenheim in signature $(2,2)$ via determinant values}},
author = {Wooyeon Kim and Hee Oh},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.18037},
eprint = {2607.18037},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.18037},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantitative Oppenheim in signature (2,2) via determinant values
AU - Wooyeon Kim
AU - Hee Oh
PY - 2026
DA - 2026/09/09
PB - arXiv
DO - 10.48550/arxiv.2607.18037
UR - https://arxiv.org/abs/2607.18037
AB - We give a new proof of the quantitative Oppenheim theorem in signature (2,2), originally proved by Eskin-Margulis-Mozes, by recasting the problem as one about determinant values on lattices in M_2(ℝ).
ER -