Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

On the Birationality of the Adjunction Mapping of Projective Varieties


Affiliations
1 Department of Mathematics, University of Bergen, Johannes Brunsgate 12, 5008 Bergen, Norway
     

   Subscribe/Renew Journal


Let X be a smooth projective n-fold such that q(X) = 0 and L a globally generated, big line bundle on X such that h0(KX +(n−2)L) > 0. We give necessary and sufficient conditions for the adjoint systems |KX + kL| to be birational for k ≥ n − 1. In particular, for Calabi-Yau n-folds we generalize and prove parts of a conjecture of Gallego and Purnaprajna.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 319

PDF Views: 0




  • On the Birationality of the Adjunction Mapping of Projective Varieties

Abstract Views: 319  |  PDF Views: 0

Authors

Andreas Leopold Knutsen
Department of Mathematics, University of Bergen, Johannes Brunsgate 12, 5008 Bergen, Norway

Abstract


Let X be a smooth projective n-fold such that q(X) = 0 and L a globally generated, big line bundle on X such that h0(KX +(n−2)L) > 0. We give necessary and sufficient conditions for the adjoint systems |KX + kL| to be birational for k ≥ n − 1. In particular, for Calabi-Yau n-folds we generalize and prove parts of a conjecture of Gallego and Purnaprajna.