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A Reduction Map for Nef Line Bundles

In: Complex Geometry

Author

Listed:
  • Thomas Bauer

    (Universität Bayreuth, Institut für Mathematik)

  • Frédéric Campana

    (Université Nancy 1, Département de Mathématiques)

  • Thomas Eckl

    (Universität Bayreuth, Institut für Mathematik)

  • Stefan Kebekus

    (Universität Bayreuth, Institut für Mathematik)

  • Thomas Peternell

    (Universität Bayreuth, Institut für Mathematik)

  • Sławomir Rams

    (Mathematisches Institut der Universität)

  • Tomasz Szemberg

    (Universität GH Essen, Fachbereich 6 Mathematik)

  • Lorenz Wotzlaw

    (Humboldt-Universität Berlin, Mathematisches Institut)

Abstract

In [Ts00], H. Tsuji stated several very interesting assertions on the structure of pseudo-effective line bundles L on a projective manifold X. In particular he postulated the existence of a meromorphic “reduction map”, which essentially says that through the general point of X there is a maximal irreducible L-flat subvariety. Moreover the reduction map should be almost holomorphic, i.e. has compact fibers which do not meet the indeterminacy locus of the reduction map. The proofs of [Ts00], however, are extremely difficult to follow.

Suggested Citation

  • Thomas Bauer & Frédéric Campana & Thomas Eckl & Stefan Kebekus & Thomas Peternell & Sławomir Rams & Tomasz Szemberg & Lorenz Wotzlaw, 2002. "A Reduction Map for Nef Line Bundles," Springer Books, in: Ingrid Bauer & Fabrizio Catanese & Thomas Peternell & Yujiro Kawamata & Yum-Tong Siu (ed.), Complex Geometry, pages 27-36, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-56202-0_2
    DOI: 10.1007/978-3-642-56202-0_2
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