Naumann, Niko (2005) A quantitative sharpening of Moriwaki's arithmetic Bogomolov inequality. MATHEMATICAL RESEARCH LETTERS, 12 (5-6). pp. 877-883. ISSN 1073-2780,
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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. Soule's proof of a vanishing theorem on arithmetic surfaces.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SURFACES; THEOREM; Bogomolov inequality; successive minima |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Niko Naumann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 30 Apr 2021 08:52 |
| Last Modified: | 30 Apr 2021 08:52 |
| URI: | https://pred.uni-regensburg.de/id/eprint/35714 |
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