Counting points of homogeneous varieties over finite fields
| dc.creator | Brion, Michel | |
| dc.creator | Peyre, Emmanuel | |
| dc.date | 2008-03-23 | |
| dc.date | 2009-04-17 | |
| dc.date.accessioned | 2026-07-07T13:04:35Z | |
| dc.date.available | 2026-07-07T13:04:35Z | |
| dc.description | Let $X$ be an algebraic variety over a finite field $\bF_q$, homogeneous under a linear algebraic group. We show that the number of rational points of $X$ over $\bF_{q^n}$ is a periodic polynomial function of $q^n$ with integer coefficients. Moreover, the shifted periodic polynomial function, where $q^n$ is formally replaced with $q^n + 1$, is shown to have non-negative coefficients. | |
| dc.identifier | https://arxiv.org/abs/0803.3346 | |
| dc.identifier | http://arxiv.org/abs/0803.3346 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227213 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13A50, 14G15, 14L30, 14M17 | |
| dc.title | Counting points of homogeneous varieties over finite fields | |
| dc.type | text |