Polynomial Parametrization for SL2 over Quadratic Number Rings
Abstract
If $R$ is the ring of integers of a number field, then there exists a polynomial parametrization of the set $\operatorname{SL}_2(R)$, that is, an element $A\in{\textrm{SL}}_2(\mathbb{Z}[x_1,\ldots ,x_n])$ such that every element of $\operatorname{SL}_2(R)$ is obtained by specializing $A$ via some homomorphism $\mathbb{Z}[x_1,\ldots ,x_n]\to R$.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Mar 13, 2019
- Source ID
- 10.1093/imrn/rnz046
Entities
People
- Dong Quan Ngoc Nguyen
- Michael B. Larsen
Organizations
- Defense Advanced Research Projects Agency
- Indiana University
- National Science Foundation
- University of Notre Dame