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Nef vector bundles on a projective space with first Chern class 3 and second Chern class 8. (English) Zbl 1402.14025
Summary: We describe nef vector bundles on a projective space with first Chern class three and second Chern class eight over an algebraically closed field of characteristic zero by giving them a minimal resolution in terms of a full strong exceptional collection of line bundles.

MSC:
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
14J60 Vector bundles on surfaces and higher-dimensional varieties, and their moduli
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[1] Robert Lazarsfeld. Positivity in algebraic geometry. II. Positivity for vector bundles, and multiplier ideals., volume 49 of Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics. Springer-Verlag, Berlin, 2004. · Zbl 1093.14500
[2] Masahiro Ohno. Nef vector bundles on a projective space or a hyperquadric with the first Chern class small. arXiv:1409.4191, 2014. · Zbl 1408.14133
[3] Masahiro Ohno. Nef vector bundles on a projective space with first Chern class 3 and second Chern class less than 8. arXiv:1604.05847, 2016. · Zbl 1402.14025
[4] Masahiro Ohno and Hiroyuki Terakawa. A spectral sequence and nef vector bundles of the first Chern class two on hyperquadrics. Ann. Univ. Ferrara Sez. VII Sci. Mat., 60(2):397–406, 2014. MASAHIRO OHNO Graduate School of Informatics and Engineering, The University of Electro-Communications, Chofu-shi, Tokyo, 182-8585 Japan e-mail: masahiro-ohno@uec.ac.jp · Zbl 1408.14133
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