Integral-valued bilinear forms and vector bundles
Sbornik. Mathematics, Tome 66 (1990) no. 1, pp. 189-197 Cet article a éte moissonné depuis la source Math-Net.Ru

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The author studies properties of bilinear forms that arise naturally as properties of the Mukai form on the Grothendieck group of vector bundles. Bibliography: 11 titles.
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A. N. Rudakov. Integral-valued bilinear forms and vector bundles. Sbornik. Mathematics, Tome 66 (1990) no. 1, pp. 189-197. http://geodesic.mathdoc.fr/item/SM_1990_66_1_a9/

[1] Beilinson A. A., “Kogerentnye puchki na $\mathbf{P}^n$ i problemy lineinoi algebry”, Funktsion. analiz i ego pril., 12:3 (1978), 68–69 | MR | Zbl

[2] Bernshtein I. N., Gelfand I. M., Gelfand S. I., “Algebraicheskie rassloeniya na $\mathbf{P}^n$ i zadachi lineinoi algebry”, Funktsion. analiz i ego pril., 12:3 (1978), 66–67 | MR

[3] Gorodentsev A. L., Rudakov A. N., “Exceptional vector bundles on projective spaces”, Duke Math. J., 54:1 (1987), 115–130 | DOI | MR | Zbl

[4] Drezet J.-M., Le Potter J., “Fibres stables et fibres exceptionnels sur $\mathbf{P}_2$”, Ann. Ec. Norm. Sup., 18:2 (1985), 193–244 | MR

[5] Drezet J.-M., “Fibres exceptionnels et suite spectrale de Beilinson generalisee sur $\mathbf{P}_2(\mathbf{C})$”, Math. Ann., 275:1 (1986), 25–48 | DOI | MR | Zbl

[6] Kapranov M. M., “Proizvodnaya kategoriya kogerentnykh puchkov na mnogoobraziyakh Grassmana”, Funktsion. analiz i ego pril., 17:2 (1983), 78–79 | MR

[7] Kapranov M. M., “Proizvodnaya kategoriya kogerentnykh puchkov na kvadrike”, Funktsion. analiz i ego pril., 20:2 (1986), 67–68 | MR

[8] Kassels Dzh. V. S., Vvedenie v teoriyu diofantovykh priblizhenii, IL, M., 1961

[9] Rudakov A. N., “Isklyuchitelnye rassloeniya na $\mathbf{P}_2$ chisla Markova”, Izv. AN CSCP. Ser. matem., 52 (1988), 100–112 | MR

[10] Fulton W., Lang S., Riemann–Roch algebra, Springer-Verlag, New York, 1985 | MR | Zbl

[11] Khartskhorn R., Algebraicheskaya geometriya, Mir, M., 1981 | MR | Zbl