Counting Unimodular Lattices in $\R^{r,s}$
| dc.creator | Hosono, Shinobu | |
| dc.creator | Lian, Bong H. | |
| dc.creator | Oguiso, Keiji | |
| dc.creator | Yau, Shing-Tung | |
| dc.date | 2003-01-10 | |
| dc.date.accessioned | 2026-07-07T04:54:21Z | |
| dc.date.available | 2026-07-07T04:54:21Z | |
| dc.description | Narain lattices are unimodular lattices {\it in} $\R^{r,s}$, subject to certain natural equivalence relation and rationality condition. The problem of describing and counting these rational equivalence classes of Narain lattices in $\R^{2,2}$ has led to an interesting connection to binary forms and their Gauss products, as shown in [HLOYII]. As a sequel, in this paper, we study arbitrary rational Narain lattices and generalize some of our earlier results. In particular in the case of $\R^{2,2}$, a new interpretation of the Gauss product of binary forms brings new light to a number of related objects -- rank 4 rational Narain lattices, over-lattices, rank 2 primitive sublattices of an abstract rank 4 even unimodular lattice $U^2$, and isomorphisms of discriminant groups of rank 2 lattices. | |
| dc.description | TeX, 10pp; uncomment \listtoc and \writetoc to get table of contents | |
| dc.identifier | https://arxiv.org/abs/math/0301095 | |
| dc.identifier | http://arxiv.org/abs/math/0301095 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66220 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Number Theory | |
| dc.title | Counting Unimodular Lattices in $\R^{r,s}$ | |
| dc.type | text |