Nef vector bundles on a projective space with first Chern class 3 and second Chern class 8. (English) Zbl 1402.14025

Ohno, Masahiro

Matematiche 72, No. 2, 69-81 (2017).

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

Keywords:

nef vector bundles; Fano bundles; spectral sequence

References:

[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: [e-mail] · Zbl 1408.14133