Some bidouble planes with $p_g=q=0$ and $4\leq K^2\leq 7$

Details Some bidouble planes with $p_g=q=0$ and $4\leq K^2\leq 7$ Some bidouble planes with $p_g=q=0$ and $4\leq K^2\leq 7$

2011-03-15

arxiv.org/abs/1103.2940v1

Mathematics

Algebraic Geometry

8 pages

Scientific paper

We construct smooth minimal surfaces $S$ of general type with $K^2=4,...,7$
having involutions $i_1, i_2, i_3$ such that $S/{i_1}$ is birational to an
Enriques surface, $S/{i_2}$ has Kodaira dimension $1,$ $S/{i_3}$ is rational
and the bicanonical map of $S$ is not composed with $i_1, i_2$ and is composed
with $i_3.$

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