On surfaces of general type with $p_g=q=1, K^2=3$
| dc.creator | Polizzi, Francesco | |
| dc.date | 2005-03-14 | |
| dc.date.accessioned | 2026-07-07T06:34:07Z | |
| dc.date.available | 2026-07-07T06:34:07Z | |
| dc.description | The moduli space $\mathscr{M}$ of surfaces of general type with $p_g=q=1, K^2=g=3$ (where $g$ is the genus of the Albanese fibration) was constructed by Catanese and Ciliberto in \cite{CaCi93}. In this paper we characterize the subvariety $\mathscr{M}_2 \subset \mathscr{M}$ corresponding to surfaces containing a genus 2 pencil, and moreover we show that there exists a non-empty, dense subset $\mathscr{M}^0 \subset \mathscr{M}$ which parametrizes isomorphism classes of surfaces with birational bicanonical map. | |
| dc.description | 35 pages. To appear in Collectanea Mathematica | |
| dc.identifier | https://arxiv.org/abs/math/0503273 | |
| dc.identifier | http://arxiv.org/abs/math/0503273 | |
| dc.identifier | Collect. Math. 56 (2005), no. 2, 181--234. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99423 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J29, 14J10, 14J26 | |
| dc.title | On surfaces of general type with $p_g=q=1, K^2=3$ | |
| dc.type | text |