Heights and Geometric Invariant Theory
| dc.creator | Gasbarri, Carlo | |
| dc.date | 1997-01-29 | |
| dc.date.accessioned | 2026-07-07T09:07:09Z | |
| dc.date.available | 2026-07-07T09:07:09Z | |
| dc.description | Let $K$ be a number field, $\OK$ be its ring of integers. We introduce the notion of compactified representation of $GL_N(\OK)$ and, we see how to associate to a hermitian vector bundle $\E$ over $\Spec(\OK)$ and a compactified representation $\T$, a hermitian tensor bundle $\E_T$. We can prove then that there exists a lower bound for the heights of points $x\in¶(\E_T)$ with $SL_N(K)$--semistable generic fibre in terms of the degree of $\E$ and some universal constants depending only on the compactified representation. We give then three applications: a universal lower bound for general flag varieties, an application to the adjoint representation of $SL_N(K)$ and a construction of a height on the moduli space of semistable vector bundles over algebraic curves. | |
| dc.description | 17 pages AMS-TeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9701017 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9701017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150270 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14G40 (Primary) 14D25 (Secondary) | |
| dc.title | Heights and Geometric Invariant Theory | |
| dc.type | text |