A numerical characterization of polarized manifolds \((X,\mathcal{L})\) with \(K_{X}=-(n-i)\mathcal{L}\) by the \(i\)th sectional geometric genus and the \(i\)th \(\Delta\)-genus
DOI10.2977/PRIMS/62zbMath1236.14008arXiv1005.4722OpenAlexW2016664276MaRDI QIDQ409061
Publication date: 12 April 2012
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.4722
Fano manifoldsectional genuspolarized manifold\(\Delta\)-genus\(i\)-th \(\Delta\)-genussectional geometric genus
(4)-folds (14J35) (3)-folds (14J30) Fano varieties (14J45) Divisors, linear systems, invertible sheaves (14C20) (n)-folds ((n>4)) (14J40)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A lower bound for the sectional genus of quasi-polarized surfaces
- On polarized manifolds of \(\Delta\) -genus two. I
- Algebraic surfaces containing an ample divisor of arithmetic genus two
- On Kodaira energy and adjoint reduction of polarized manifolds
- The adjunction theory of complex projective varieties
- A lower bound for sectional genus of quasi-polarized manifolds
- On the sectional geometric genus of quasi-polarized varieties. II
- On the second sectional \(H\)-arithmetic genus of polarized manifolds
- A generalization of the \(\Delta\)-genus of quasi-polarized varieties
- On the Sectional Geometric Genus of Quasi-Polarized Varieties. I
- Addendum to “On the Sectional Geometric Genus of Quasi-Polarized Varieties, I” by Yoshiaki Fukuma
- On sectional genus of quasi-polarized 3-folds
- Ample divisors on the blow up of 𝐏ⁿ at points
- On Banica sheaves and Fano manifolds
- A lower bound for the second sectional geometric genus of polarized manifolds
This page was built for publication: A numerical characterization of polarized manifolds \((X,\mathcal{L})\) with \(K_{X}=-(n-i)\mathcal{L}\) by the \(i\)th sectional geometric genus and the \(i\)th \(\Delta\)-genus
