On surfaces with pg=2, q=1 and non-birational bicanonical map
Abstract
In the present note we show that any surface of general type with pg=2,q=1 and non-birational bicanonical map has a pencil of curves of genus 2. Combining this result with previous ones, one obtains thatan irregular surface S of general type with (S)≥ 2 and non-birational bicanonical map has a pencil of curves of genus 2.
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