Arithmetic fake projective spaces and arithmetic fake grassmannians
| dc.creator | Prasad, Gopal | |
| dc.creator | Yeung, Sai-Kee | |
| dc.date | 2006-02-07 | |
| dc.date | 2008-07-14 | |
| dc.date.accessioned | 2026-07-07T09:49:54Z | |
| dc.date.available | 2026-07-07T09:49:54Z | |
| dc.description | We show that if n>5, PU(n-1,1) does not contain a cocompact arithmetic subgroup with the same Euler-Poincare characteristic (in the sense of C.T.C. Wall) as the complex projective space of dimension n-1, and show that if n=5, there are at least four such subgroups, which are in fact torsion-free. This, in particular, leads to examples of a fake projective space of dimension 4. Analogous results for arithmetic fake grassmannians Gr(m,n) with n>3 odd are also obtained. | |
| dc.description | 20 pages, the exposition has been improved | |
| dc.identifier | https://arxiv.org/abs/math/0602144 | |
| dc.identifier | http://arxiv.org/abs/math/0602144 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164764 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 14J29, 11M06, 11E57 | |
| dc.title | Arithmetic fake projective spaces and arithmetic fake grassmannians | |
| dc.type | text |