Automorphisms and moduli spaces of varieties with ample canonical class via deformations of abelian covers
| dc.creator | Fantechi, Barbara | |
| dc.creator | Pardini, Rita | |
| dc.date | 1994-10-11 | |
| dc.date.accessioned | 2026-07-07T09:06:12Z | |
| dc.date.available | 2026-07-07T09:06:12Z | |
| dc.description | By a recent result of Viehweg, projective manifolds with ample canonical class have a coarse moduli space, which is a union of quasiprojective varieties. In this paper, we prove that there are manifolds with ample canonical class that lie on arbitrarily many irreducible components of the moduli; moreover, for any finite abelian group $G$ there exist infinitely many components $M$ of the moduli of varieties with ample canonical class such that the generic automorphism group $G_M$ is equal to $G$. In order to construct the examples, we use abelian covers, i.e. Galois cover whose Galois group is finite and abelian. We prove two results about abelian covers: first, that if the building data are sufficiently ample, then the natural deformations surject on the Kuranishi family of $X$; second, that if the building data are sufficiently ample and generic, then $Aut(X)=G$. | |
| dc.description | 30 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9410006 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9410006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149928 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Automorphisms and moduli spaces of varieties with ample canonical class via deformations of abelian covers | |
| dc.type | text |