Fibrations of low genus, I
| dc.creator | Catanese, Fabrizio | |
| dc.creator | Pignatelli, Roberto | |
| dc.date | 2005-03-15 | |
| dc.date | 2006-10-19 | |
| dc.date.accessioned | 2026-07-07T06:39:35Z | |
| dc.date.available | 2026-07-07T06:39:35Z | |
| dc.description | In the present paper we consider fibrations $f: S \ra B$ of an algebraic surface onto a curve $B$, with general fibre a curve of genus $g$. Our main results are: 1) A structure theorem for such fibrations in the case $g=2$ 2) A structure theorem for such fibrations in the case $g=3$ and general fibre nonhyperelliptic 3) A theorem giving a complete description of the moduli space of minimal surfaces of general type with $ K^2_S = 3, p_g = q=1$, showing in particular that it has four unirational connected components 4) some other applications of the two structure theorems. | |
| dc.description | 50 pages, to appear on Annales Scientifiques de l'Ecole Normale Superieure | |
| dc.identifier | https://arxiv.org/abs/math/0503294 | |
| dc.identifier | http://arxiv.org/abs/math/0503294 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101130 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D06; 14J29; 11G30 | |
| dc.title | Fibrations of low genus, I | |
| dc.type | text |