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A Bound on the Irregularity of Abelian Scrolls in Projective Space

In: Complex Geometry

Author

Listed:
  • Ciro Ciliberto

    (Università di Roma Tor Vergata, Dipartimento di Matematica)

  • Klaus Hulek

    (Universität Hannover, Institut für Mathematik)

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. We also discuss some existence results and open problems.

Suggested Citation

  • Ciro Ciliberto & Klaus Hulek, 2002. "A Bound on the Irregularity of Abelian Scrolls in Projective Space," Springer Books, in: Ingrid Bauer & Fabrizio Catanese & Thomas Peternell & Yujiro Kawamata & Yum-Tong Siu (ed.), Complex Geometry, pages 85-92, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-56202-0_5
    DOI: 10.1007/978-3-642-56202-0_5
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