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A bound on the irregularity of abelian scrolls in projective space

Ciro Ciliberto·Klaus Hulek
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Abstract

We prove that the irregularity of a smooth abelian scroll whose dimension is at least half of that of the surrounding projective space is bounded by 2. In addition we discuss some existence results and open problems.

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Ciro Ciliberto, Klaus Hulek. 2001-09-04. A bound on the irregularity of abelian scrolls in projective space. https://arxiv.org/abs/math/0109022

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