Surfaces with $p_g = q= 1$, $K^2 = 7$ and non-birational bicanonical mpas

Details Surfaces with $p_g = q= 1$, $K^2 = 7$ and non-birational bicanonical mpas Surfaces with $p_g = q= 1$, $K^2 = 7$ and non-birational bicanonical mpas

2010-12-21

arxiv.org/abs/1012.4832v1

Mathematics

Algebraic Geometry

17 pages welcome comments

Scientific paper

Let $S$ be a minimal surface of general type with $p_g = q = 1, K_S^2 = 7$.
We prove that the degree of the bicanonical map is 1 or 2. Furthermore, if the
degree is 2, we describe $S$ by a double cover.

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