Premium
Nefness of adjoint bundles for ample vector bundles of corank 3
Author(s) -
Tironi Andrea L.
Publication year - 2013
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201000075
Subject(s) - vector bundle , mathematics , adjunction , rank (graph theory) , projective variety , pure mathematics , dimension (graph theory) , variety (cybernetics) , ample line bundle , splitting principle , bundle , line bundle , algebra over a field , combinatorics , statistics , materials science , composite material
Let E be an ample vector bundle of rank r ≥ 2 on a smooth complex projective variety X of dimension n . The aim of this paper is to describe the structure of pairs ( X , E ) as above whose adjoint bundlesK X + det E are not nef for r = n − 3 . Furthermore, we give some immediate consequences of this result in adjunction theory.