Effective non-vanishing conjectures for projective threefolds

DOI10.1515/ADVGEOM.2010.035zbMath1229.14007arXiv0811.3059OpenAlexW2963529581WikidataQ123158199 ScholiaQ123158199MaRDI QIDQ3055474

Amaël Broustet, Andreas Höring

Publication date: 8 November 2010

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3059

zbMATH Keywords

ample line bundlesadjoint bundlesPolarized manifolds

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) (3)-folds (14J30) Divisors, linear systems, invertible sheaves (14C20) (Co)homology theory in algebraic geometry (14F99)

Related Items (11)

On the positivity of the dimension of the global sections of adjoint bundle for quasi-polarized manifold with numerically trivial canonical bundle ⋮ On the dimension of the global sections of adjoint bundles for quasi-polarized manifold whose anti-canonical bundle is effective, nef and big ⋮ Effective non-vanishing of global sections of multiple adjoint bundles for polarized 4-folds ⋮ On a conjecture of Beltrametti and Sommese ⋮ On generalized nefness and bigness in adjunction theory ⋮ On classification of polarized 3-folds \((X,L)\) with \(h^0(K_X+2L)=2\) ⋮ Effective non-vanishing of global sections of multiple adjoint bundles for polarized 3-folds ⋮ Effective non-vanishing of global sections of multiple adjoint bundles for quasi-polarized n-folds, II ⋮ A note on the dimension of global sections of adjoint bundles for polarized 4-folds ⋮ Effective non-vanishing of global sections of multiple adjoint bundles for quasi-polarized n-folds ⋮ ON THE DIMENSION OF THE GLOBAL SECTIONS OF THE ADJOINT BUNDLE FOR POLARIZED 5-FOLDS

Cites Work

• On the dimension of global sections of adjoint bundles for polarized 3-folds and 4-folds
• A lower bound for the second sectional geometric genus of polarized manifolds
• ON A CONJECTURE OF BELTRAMETTI–SOMMESE FOR POLARIZED 3-FOLDS

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