Nef vector bundles on a quadric surface with the first Chern class (2, 1)
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Masahiro Ohno
Abstract
We classify nef vector bundles on a smooth quadric surface with the first Chern class (2, 1) over an algebraically closed field of characteristic zero; we see in particular that such nef bundles are globally generated.
Acknowledgements
Deep appreciation goes to the referee for his valuable comments.
Communicated by: R. Cavalieri
Funding: This work was partially supported by JSPS KAKENHI (C) Grant Number 15K04810.
References
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Articles in the same Issue
- Frontmatter
- The cone topology on masures
- A calculus for conformal hypersurfaces and new higher Willmore energy functionals
- On plane curves given by separated polynomials and their automorphisms
- Rational quartic symmetroids
- Voisin’s conjecture for zero-cycles on Calabi–Yau varieties and their mirrors
- Nef vector bundles on a quadric surface with the first Chern class (2, 1)
- A proof of a conjecture by Haviv, Lyubashevsky and Regev on the second moment of a lattice Voronoi cell
- Toric log del Pezzo surfaces with one singularity
- Farthest points on most Alexandrov surfaces
Articles in the same Issue
- Frontmatter
- The cone topology on masures
- A calculus for conformal hypersurfaces and new higher Willmore energy functionals
- On plane curves given by separated polynomials and their automorphisms
- Rational quartic symmetroids
- Voisin’s conjecture for zero-cycles on Calabi–Yau varieties and their mirrors
- Nef vector bundles on a quadric surface with the first Chern class (2, 1)
- A proof of a conjecture by Haviv, Lyubashevsky and Regev on the second moment of a lattice Voronoi cell
- Toric log del Pezzo surfaces with one singularity
- Farthest points on most Alexandrov surfaces
