A note on Todorov surfaces
| dc.creator | Rito, Carlos | |
| dc.date | 2008-04-14 | |
| dc.date.accessioned | 2026-07-07T09:32:16Z | |
| dc.date.available | 2026-07-07T09:32:16Z | |
| dc.description | Let $S$ be a {\em Todorov surface}, {\it i.e.}, a minimal smooth surface of general type with $q=0$ and $p_g=1$ having an involution $i$ such that $S/i$ is birational to a $K3$ surface and such that the bicanonical map of $S$ is composed with $i.$ The main result of this paper is that, if $P$ is the minimal smooth model of $S/i,$ then $P$ is the minimal desingularization of a double cover of $\mathbb P^2$ ramified over two cubics. Furthermore it is also shown that, given a Todorov surface $S$, it is possible to construct Todorov surfaces $S_j$ with $K^2=1,...,K_S^2-1$ and such that $P$ is also the smooth minimal model of $S_j/i_j,$ where $i_j$ is the involution of $S_j.$ Some examples are also given, namely an example different from the examples presented by Todorov in \cite{To2}. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/0804.2222 | |
| dc.identifier | http://arxiv.org/abs/0804.2222 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158754 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J29; 14J28 | |
| dc.title | A note on Todorov surfaces | |
| dc.type | text |