ON A CONJECTURE OF BELTRAMETTI–SOMMESE FOR POLARIZED 3-FOLDS
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Publication:5487861
DOI10.1142/S0129167X06003709zbMath1100.14003OpenAlexW2069522337WikidataQ123178854 ScholiaQ123178854MaRDI QIDQ5487861
Publication date: 12 September 2006
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129167x06003709
(4)-folds (14J35) (3)-folds (14J30) Divisors, linear systems, invertible sheaves (14C20) (n)-folds ((n>4)) (14J40)
Related Items (13)
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 ⋮ On a conjecture of Beltrametti and Sommese ⋮ On polarized 4-folds \((X,L)\) with \(h^0(K_X + 3L)=1\) ⋮ On classification of polarized 3-folds \((X,L)\) with \(h^0(K_X+2L)=2\) ⋮ A study on the dimension of global sections of adjoint bundles for polarized manifolds ⋮ Effective non-vanishing of global sections of multiple adjoint bundles for polarized 3-folds ⋮ Effective non-vanishing conjectures for projective threefolds ⋮ A note on the dimension of global sections of adjoint bundles for polarized 4-folds ⋮ On the dimension of the global sections of \(K_X+4L\) for polarized 5-folds \((X, L)\) ⋮ On the dimension of global sections of adjoint bundles for polarized 3-folds and 4-folds ⋮ Effective non-vanishing and local positivity of adjoint ample bundles ⋮ ON THE DIMENSION OF THE GLOBAL SECTIONS OF THE ADJOINT BUNDLE FOR POLARIZED 5-FOLDS
Cites Work
- A lower bound for the sectional genus of quasi-polarized surfaces
- Ample vector bundles of small \(c_ 1\)-sectional genera
- On polarized 3-folds \((X,L)\) with \(g(L)=q(X)+1\) and \(h^0(L)\geq 4\)
- On polarized surfaces \((X,L)\) with \(h^0(L)>0\), \(\kappa(X)\geq 0\) and \(g(L)=q(X)+1\)
- On the sectional geometric genus of quasi-polarized varieties. II
- On complex manifolds polarized by an ample line bundle of sectional genus \(q(X)+2\)
- On polarized manifolds of sectional genus three
- On the second sectional \(H\)-arithmetic genus of polarized manifolds
- On the Sectional Geometric Genus of Quasi-Polarized Varieties. I
- Generalized adjunction and applications
- On sectional genus of quasi-polarized 3-folds
- On the Nonemptiness of the Adjoint Linear System of Polarized Manifolds
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