A quantitative sharpening of Moriwaki's arithmetic Bogomolov inequality
| dc.creator | Naumann, Niko | |
| dc.date | 2005-08-31 | |
| dc.date.accessioned | 2026-07-07T05:22:50Z | |
| dc.date.available | 2026-07-07T05:22:50Z | |
| dc.description | A. Moriwaki proved the following arithmetic analogue of the Bogomolov unstability theorem. If a torsion-free hermitian coherent sheaf on an arithmetic surface has negative discriminant then it admits an arithmetically destabilising subsheaf. In the geometric situation it is known that such a subsheaf can be found subject to an additional numerical constraint and here we prove the arithmetic analogue. We then apply this result to slightly simplify a part of C. Soulé's proof of a vanishing theorem on arithmetic surfaces. | |
| dc.description | final version, to appear in Math. Res. Lett | |
| dc.identifier | https://arxiv.org/abs/math/0508641 | |
| dc.identifier | http://arxiv.org/abs/math/0508641 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76218 | |
| dc.subject | Algebraic Geometry | |
| dc.title | A quantitative sharpening of Moriwaki's arithmetic Bogomolov inequality | |
| dc.type | text |