A note on nonvanishing and applications
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Publication:1320643
DOI10.1215/S0012-7094-93-07228-6zbMath0853.14003arXivalg-geom/9302001OpenAlexW2002524107MaRDI QIDQ1320643
Jarosław A. Wiśniewski, Marco Andreatta
Publication date: 6 January 1997
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/alg-geom/9302001
adjunction theorycanonical divisoradjoint linear systemadjoint contraction morphismhorizontal slicing
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Toroidal embeddings. I
- On extremal rays of the higher dimensional varieties
- On ample vector bundles whose adjunction bundles are not numerically effective
- Théoremes de Bertini et applications
- Varieties with small dual varieties. II
- Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
- On deformation of nef values
- On Kodaira energy and adjoint reduction of polarized manifolds
- A remark on the Kawamata rationality theorem
- Two theorems on elementary contractions
- Fano manifolds and quadric bundles
- Ample vector bundles
- On the inverse of monoidal transformation
- Remarks on quasi-polarized varieties
- Some Special Cremona Transformations
- On the adjunction theoretic structure of projective varieties
- On the Normal Bundle of /mathbfP 1 in a Higher Dimensional Projective Variety
- On the adjunction theoretic classification of polarized varieties.
- On contractions of extremal rays of Fano manifolds.
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