A bound on the irregularity of abelian scrolls in projective space
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- September 2001
- DOI:
- arXiv:
- arXiv:math/0109022
- Bibcode:
- 2001math......9022C
- Keywords:
-
- Algebraic Geometry
- E-Print:
- 8 pages, Latex 2e, to appear in Festschrift in honour of Hans Grauert