A bound on the irregularity of abelian scrolls in projective space

Details A bound on the irregularity of abelian scrolls in projective space A bound on the irregularity of abelian scrolls in projective space

2001-09-04

arxiv.org/abs/math/0109022v1

Mathematics

Algebraic Geometry

8 pages, Latex 2e, to appear in Festschrift in honour of Hans Grauert

Scientific paper

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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