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arxiv: math/0109022 · v1 · submitted 2001-09-04 · 🧮 math.AG

A bound on the irregularity of abelian scrolls in projective space

classification 🧮 math.AG
keywords abelianirregularityprojectivespaceadditionboundboundeddimension
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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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