Effective non-vanishing conjectures for projective threefolds-Reference-Cited by-同舟云学术

Effective non-vanishing conjectures for projective threefolds

Published:2010-08-10 Issue:4 Volume:10 Page:737-746
ISSN:1615-7168
Container-title:advg
language:en
Short-container-title:

Author:

Broustet Amäel¹,Höring Andreas²

Affiliation:

1. Université Lille 1, CNRS 8524, UFR de mathématiques, 59655 Villeneuve d'Ascq CEDEX, France. Email:

2. Université Paris 6, Institut de Mathématiques de Jussieu, Equipe de Topologie et Géométrie Algébrique, 175, rue du Chevaleret, 75013 Paris, France. Email:

Abstract

Abstract Let X be a smooth projective threefold, and let A be an ample line bundle such that KX + A is nef. We show that if KX or –KX is pseudo-effective, the adjoint bundle KX + A has global sections. We also give a very short proof of the Beltrametti–Sommese conjecture in dimension three, recently proven by Fukuma: if A is an ample line bundle such that KX + 2A is nef, the adjoint bundle KX + 2A has global sections.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom.2010.035/pdf

Reference8 articles.

1. A lower bound for the second sectional geometric genus of polarized manifolds

2. ON A CONJECTURE OF BELTRAMETTI–SOMMESE FOR POLARIZED 3-FOLDS

3. On the dimension of global sections of adjoint bundles for polarized 3-folds and 4-folds

4. On effective non-vanishing and base-point-freeness

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