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Nef vector bundles on a quadric surface with the first Chern class (2, 1)

Masahiro Ohno
From the journal Advances in Geometry

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.

  1. Communicated by: R. Cavalieri

  2. Funding: This work was partially supported by JSPS KAKENHI (C) Grant Number 15K04810.

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Received: 2017-10-22
Revised: 2018-02-05
Published Online: 2019-06-21
Published in Print: 2020-01-28

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