A connected component of the moduli space of surfaces of general type with $p_g=0$
| dc.creator | Lopes, M. Mendes | |
| dc.creator | Pardini, R. | |
| dc.date | 1999-10-04 | |
| dc.date.accessioned | 2026-07-07T05:31:01Z | |
| dc.date.available | 2026-07-07T05:31:01Z | |
| dc.description | Let S be a minimal surface of general type with $p_g(S)=0$ and such that the bicanonical map $ϕ:S\to \pp^{K^2_S}$ is a morphism: then the degree of $ϕ$ is at most 4 and if it is equal to 4 then $K^2_S\le 6$. Here we prove that if $K^2_S=6$ and $°ϕ=4$ then S is a so-called {\em Burniat surface}. In addition we show that minimal surfaces with $p_g=0$, $K^2=6$ and bicanonical map of degree 4 form a 4-dimensional irreducible connected component of the moduli space of surfaces of general type. | |
| dc.description | LaTeX 2.09, 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/9910012 | |
| dc.identifier | http://arxiv.org/abs/math/9910012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79194 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J29, 14J10 | |
| dc.title | A connected component of the moduli space of surfaces of general type with $p_g=0$ | |
| dc.type | text |