On the direct image of the adjoint line bundle

Laytimi, Fatima; Nagaraj, D. S.

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1007/s13226-018-0267-6

Title :

On the direct image of the adjoint line bundle

Author(s) :

Laytimi, Fatima [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]
Nagaraj, D. S. [Auteur]

Journal title :

Indian Journal of Pure and Applied Mathematics

Pages :

257-263

Publisher :

Springer

Publication date :

2023-10-04

ISSN :

0019-5588

HAL domain(s) :

Mathématiques [math]/Géométrie algébrique [math.AG]

English abstract : [en]

We give an algebraic-geometric proof of the fact that for a smooth fibration $\pi: X \longrightarrow Y$ of projective varieties, the direct image $\pi_*(L\otimes K_{X/Y})$ of the adjoint line bundle of an ample (respectively, ...
Show more >We give an algebraic-geometric proof of the fact that for a smooth fibration $\pi: X \longrightarrow Y$ of projective varieties, the direct image $\pi_*(L\otimes K_{X/Y})$ of the adjoint line bundle of an ample (respectively, nef and $\pi$-strongly big) line bundle $L$ is ample (respectively, nef and big).Show less >

Language :

Anglais

Popular science :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Files

2310.02764
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