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arXiv · 1012.4832

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

Lei Zhang
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Abstract

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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Lei Zhang. 2010-12-21. Surfaces with $p_g = q= 1$, $K^2 = 7$ and non-birational bicanonical mpas. https://doi.org/10.1007/s10711-014-9990-2.

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