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References
Ekedahl, T.: Canonical models of surfaces of general type in positive characteristic. Publ. Math. Inst. Hautes Etud. Sci.67, 97–144 (1988)
Gieseker, D.: Stable vector bundles and the Frobenius morphism. Ann. Sci. Ec. Norm. Supér., IV. Sér.6, 95–101 (1973)
Maruyama, M.: Boundedness of semi-stable sheaves of small ranks. Nagoya Math. J.78, 65–94 (1980)
Miyaoka, Y.: The Chern classes and Kodaira dimension of a minimal variety. (Adv. Stud. Pure Math., vol. 10, 1987, Algebraic Geometry, Sendai, 1985, 449–476) Tokyo: Kinokuniya
Miayaoka, Y., Mori, S.: A numerical criterion for uniruledness, Ann. Math.124, 65–69 (1986)
Moriwaki, A.: A note on Bogomolov-Gieseker's inequality in positive characteristic. Duke Math. J.64, 361–375 (1991)
Reid, M.: Bogomolov's theoremc 21 ≦4c 2. Proc. Intl. Symp. on Alg. Geometry, 623–642. Kyoto: Kinokuniya (1977)
Reider, I.: Vector bundles of rank 2 and linear systems on algebraic surfaces. Ann. Math.127, 309–316 (1988)
Shepherd-Barron, N.I.: Unstable vector bundles and linear systems on surfaces in positive characteristicp. Invent. Math.106, 243–262 (1991)
Shepherd-Barron, N.I.: Geography for surfaces of general type in positive characteristic. Invent. Math.106, 263–274 (1991)
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Moriwaki, A. Frobenius pull-back of vector bundles of rank 2 over non-uniruled varieties. Math. Ann. 296, 441–451 (1993). https://doi.org/10.1007/BF01445114
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DOI: https://doi.org/10.1007/BF01445114