Surfaces with p_g=q=1, K^2=8 and nonbirtional bicanonical map

Details Surfaces with p_g=q=1, K^2=8 and nonbirtional bicanonical map Surfaces with p_g=q=1, K^2=8 and nonbirtional bicanonical map

2008-08-25

arxiv.org/abs/0808.3286v1

Mathematics

Algebraic Geometry

Scientific paper

We prove that if the bicanonical map of a minimal surface of general type S
with p_{g}=q=1 and K^2=8 is non birational, then it is a double cover onto a
rational surface. An application of this theorem is the complete classification
of minimal surfaces of general type with p_{g}=q=1, K^2=8 and nonbirational
bicanonical map.

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