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Advances in Geometry

Managing Editor: Grundhöfer, Theo / Joswig, Michael

Editorial Board: Bamberg, John / Bannai, Eiichi / Cavalieri, Renzo / Coskun, Izzet / Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Leistner, Thomas / Löwen, Rainer / Ono, Kaoru / Ratcliffe, John G. / Scheiderer, Claus / Van Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard

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

Masahiro Ohno
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  • Graduate School of Informatics and Engineering, The University of Electro-Communications, Chofu-shi, Tokyo, 182-8585, Japan
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Published Online: 2019-06-21 | DOI: https://doi.org/10.1515/advgeom-2018-0039


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.

Keywords: Nef vector bundles; quadric surfaces; full strong exceptional sequences

MSC 2010: Primary 14J60; Secondary 14F05; 14N30


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About the article

Received: 2017-10-22

Revised: 2018-02-05

Published Online: 2019-06-21

Communicated by: R. Cavalieri

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

Citation Information: Advances in Geometry, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: https://doi.org/10.1515/advgeom-2018-0039.

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