Arithmetic Bogomolov-Gieseker's inequality
| dc.creator | Moriwaki, Atsushi | |
| dc.date | 1993-07-19 | |
| dc.date.accessioned | 2026-07-07T09:05:52Z | |
| dc.date.available | 2026-07-07T09:05:52Z | |
| dc.description | Let f : X --> Spec(Z) be an arithmetic variety of dimension d >= 2 and (H, k) an arithmetically ample Hermitian line bundle on X. Let (E, h) be a rank r vector bundle on X. In this paper, we will prove that if E is semistable with respect to H on each connected component of the infinite fiber of X, then { c_2(E, h) - (r-1)/(2r) c_1(E, h)^2 } c_1(H, k)^{d-2} >= 0. Moreover, if the equality of the above inequality holds, then E is projectively flat and h is a weakly Einstein-Hermitian metric. | |
| dc.description | 21 pages, AmSTeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9307004 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9307004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149823 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Arithmetic Bogomolov-Gieseker's inequality | |
| dc.type | text |