Inequalities for semistable families of arithmetic varieties
| dc.creator | Kawaguchi, Shu | |
| dc.creator | Moriwaki, Atsushi | |
| dc.date | 1997-10-07 | |
| dc.date | 1998-03-03 | |
| dc.date.accessioned | 2026-07-07T01:51:10Z | |
| dc.date.available | 2026-07-07T01:51:10Z | |
| dc.description | In this paper, we will consider a generalization of Bogomolov's inequality and Cornalba-Harris-Bost's inequality to semistable families of arithmetic varieties under the idea that geometric semistability implies a certain kind of arithmetic positivity. The first one is an arithmetic analogue of the relative Bogomolov's inequality proved by the second author. We also establish the arithmetic Riemann-Roch formulae for stable curves over regular arithmetic varieties and generically finite morphisms of arithmetic varieties. | |
| dc.description | Version 3.0 (75 pages), the new version of the paper titled "Relative Bogomolov's inequality in the arithmetic case" | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9710007 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9710007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Inequalities for semistable families of arithmetic varieties | |
| dc.type | text |