Nefness of adjoint bundles for ample vector bundles of corank 3 | Zendy

Tironi Andrea L. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

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.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research