Inequality of Bogomolov-Gieseker's type on arithmetic surfaces
| dc.creator | Moriwaki, Atsushi | |
| dc.date | 1993-05-12 | |
| dc.date.accessioned | 2026-07-07T09:05:50Z | |
| dc.date.available | 2026-07-07T09:05:50Z | |
| dc.description | Let K be an algebraic number field, O_K the ring of integers of K, and f : X --> Spec(O_K) an arithmetic surface. Let (E, h) be a rank r Hermitian vector bundle on X such that $E$ is semistable on the geometric generic fiber of f. In this paper, we will prove an arithmetic analogy of Bogomolov-Gieseker's inequality: c_2(E, h) - (r-1)/(2r) c_1(E, h)^2 >= 0. | |
| dc.description | 51 pages, AmSTeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9305005 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9305005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149811 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Inequality of Bogomolov-Gieseker's type on arithmetic surfaces | |
| dc.type | text |