## Duke Mathematical Journal

### A note on Bogomolov-Gieseker’s inequality in positive characteristic

Atsushi Moriwaki

#### Article information

Source
Duke Math. J. Volume 64, Number 2 (1991), 361-375.

Dates
First available in Project Euclid: 20 February 2004

http://projecteuclid.org/euclid.dmj/1077295527

Digital Object Identifier
doi:10.1215/S0012-7094-91-06418-5

Mathematical Reviews number (MathSciNet)
MR1136381

Zentralblatt MATH identifier
0769.14005

#### Citation

Moriwaki, Atsushi. A note on Bogomolov-Gieseker’s inequality in positive characteristic. Duke Math. J. 64 (1991), no. 2, 361--375. doi:10.1215/S0012-7094-91-06418-5. http://projecteuclid.org/euclid.dmj/1077295527.

#### References

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• [3] D. Gieseker, $p$-ample bundles and their Chern classes, Nagoya Math. J. 43 (1971), 91–116.
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• [10] M. Raynaud, Contre-exemple au “vanishing theorem” en caractéristique $p>0$, C. P. Ramanujam—a tribute, Tata Inst. Fund. Res. Studies in Math., vol. 8, Springer, Berlin, 1978, pp. 273–278.
• [11] M. Reid, Bogomolov's theorem $c\sb1\sp2\leq 4c\sb2$, Proceedings of the International Symposium on Algebraic Geometry (Kyoto Univ., Kyoto, 1977), Kinokuniya Book Store, Tokyo, 1978, pp. 623–642.
• [12] N. I. Shepherd-Barron, Unstable vector bundles and linear systems on surfaces in characteristic $p$, preprint, Chicago Univ., 1989.