Surfaces with $p_g=q=3$
| dc.creator | Hacon, Christopher D. | |
| dc.creator | Pardini, Rita | |
| dc.date | 2001-04-04 | |
| dc.date.accessioned | 2026-07-07T04:40:59Z | |
| dc.date.available | 2026-07-07T04:40:59Z | |
| dc.description | We classify minimal complex surfaces of general type with $p_g=q=3$. More precisely, we show that such a surface is either the symmetric product of a curve of genus 3 or a free $\Z_2-$quotient of the product of a curve of genus 2 and a curve of genus 3. Our main tools are the generic vanishing theorems of Green and Lazarsfeld and Fourier--Mukai transforms. The same result has been obtained independently at the same time by G. Pirola using different methods. | |
| dc.description | LaTeX2e, 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0104048 | |
| dc.identifier | http://arxiv.org/abs/math/0104048 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61230 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J29 | |
| dc.title | Surfaces with $p_g=q=3$ | |
| dc.type | text |