Contractions on a manifold polarized by an ample vector bundle
From MaRDI portal
Publication:4372599
DOI10.1090/S0002-9947-97-01832-1zbMath0885.14004arXivalg-geom/9410029OpenAlexW1494146178MaRDI QIDQ4372599
Marco Andreatta, Massimiliano Mella
Publication date: 16 December 1997
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/alg-geom/9410029
contractionvector bundleadjoint bundleextremal raylog terminal singularitiespolarized varietyamplenessnefness
Minimal model program (Mori theory, extremal rays) (14E30) Divisors, linear systems, invertible sheaves (14C20) (n)-folds ((n>4)) (14J40)
Related Items (7)
Classification of Mukai pairs with corank $3$ ⋮ On Fano manifolds of large pseudoindex ⋮ Flat deformations of \(\mathbb{P}^n\) ⋮ Classification of generalized polarized manifolds by their nef values ⋮ Manifolds polarized by vector bundles ⋮ Scrolls over four dimensional varieties ⋮ Nefness of adjoint bundles for ample vector bundles of corank 3
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a conjecture of Mukai
- On ample vector bundles whose adjunction bundles are not numerically effective
- Length of extremal rays and generalized adjunction
- Projective manifolds with ample tangent bundles
- Vector bundles on complex projective spaces
- On Kodaira energy and adjoint reduction of polarized manifolds
- Fano manifolds and vector bundles
- A note on nonvanishing and applications
- Contractions of Gorenstein polarized varieties with high nef value
- Ample vector bundles on singular varieties
- A theorem on the adjoint system for vector bundles
- On the adjunction theoretic structure of projective varieties
- Generalized adjunction and applications
- On the adjunction theoretic classification of polarized varieties.
- VECTOR BUNDLES AND ADJUNCTION
- On contractions of extremal rays of Fano manifolds.
- Threefolds whose canonical bundles are not numerically effective
This page was built for publication: Contractions on a manifold polarized by an ample vector bundle