Geodesic
Nadel sheaves and properties of vector bundles on Fano varieties
Izvestiya. Mathematics, Tome 45 (1995) no. 2, pp. 281-295 
M. C. Jotov. Nadel sheaves and properties of vector bundles on Fano varieties. Izvestiya. Mathematics, Tome 45 (1995) no. 2, pp. 281-295. http://geodesic.mathdoc.fr/item/IM2_1995_45_2_a2/
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     title = {Nadel sheaves and properties of vector bundles on {Fano} varieties},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A theorem of Nadel is generalized to the case of multidimensional vector bundles, and necessary conditions are found for Nakano semipositivity on certain Fano varieties (in terms of Chern classes).

[1] A. M. Nadel, Multiplier ideal sheaves and Kaler–Einstein metrics of positive scalar curvature, Preprint | MR

[2] A. M. Nadel, The behavior of multiplier ideal sheaves under morphisms, Preprint | MR

[3] V. A. Iskovskikh, Lektsii po trekhmernym algebraicheskim mnogoobraziyam. Mnogoobraziya na Fano, Nauka, M., 1988

[4] S. Mukai, H. Umemura, Minimal rational treefolds, Lect. Notes Math., 1016, Berlin–Heidelberg–New York, 1983 | MR

[5] F. Griffits, Dzh. Kharris, Printsipy algebraicheskoi geometrii, Mir, M., 1982 | MR