A Reduction Map for Nef Line Bundles

Thomas Bauer (), Frédéric Campana (), Thomas Eckl (), Stefan Kebekus (), Thomas Peternell (), Sławomir Rams (), Tomasz Szemberg () and Lorenz Wotzlaw ()
Additional contact information
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

A chapter in Complex Geometry, 2002, pp 27-36 from Springer

Abstract: 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.

Keywords: 2000; Mathematics Subject Classification; 14E05; 14J40; 14J60 (search for similar items in EconPapers)
Date: 2002
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-56202-0_2

Ordering information: This item can be ordered from
http://www.springer.com/9783642562020

DOI: 10.1007/978-3-642-56202-0_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().