Geodesic
Exceptional bundles on surfaces with a~moving anticanonical class
Izvestiya. Mathematics , Tome 33 (1989) no. 1, pp. 67-83.

Voir la notice de l'article provenant de la source Math-Net.Ru

The author studies the properties of exceptional coherent sheaves on algebraic surfaces $S$ with $\operatorname{dim}H^0(-\mathscr K_S)\geqslant2$ and describes a method for constructing infinite families of such sheaves, based on the technique developed here of reconstructions of the exceptional objects of a derived category. Bibliography: 12 titles. 
@article{IM2_1989_33_1_a2,
     author = {A. L. Gorodentsev},
     title = {Exceptional bundles on surfaces with a~moving anticanonical class},
     journal = {Izvestiya. Mathematics },
     pages = {67--83},
     publisher = {mathdoc},
     volume = {33},
     number = {1},
     year = {1989},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1989_33_1_a2/}
}
TY  - JOUR
AU  - A. L. Gorodentsev
TI  - Exceptional bundles on surfaces with a~moving anticanonical class
JO  - Izvestiya. Mathematics 
PY  - 1989
SP  - 67
EP  - 83
VL  - 33
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1989_33_1_a2/
LA  - en
ID  - IM2_1989_33_1_a2
ER  - 
%0 Journal Article
%A A. L. Gorodentsev
%T Exceptional bundles on surfaces with a~moving anticanonical class
%J Izvestiya. Mathematics 
%D 1989
%P 67-83
%V 33
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1989_33_1_a2/
%G en
%F IM2_1989_33_1_a2
A. L. Gorodentsev. Exceptional bundles on surfaces with a~moving anticanonical class. Izvestiya. Mathematics , Tome 33 (1989) no. 1, pp. 67-83. http://geodesic.mathdoc.fr/item/IM2_1989_33_1_a2/

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

[2] Beilinson A. A., Bernstein I. N., Delighe P., Faisceaux pervers, Asterisque, 100, 1981

[3] Gorodentsev A. L., “Perestroiki isklyuchitelnykh rassloenii na $\mathbf{P}^n$”, Izv. AN SSSR. Ser. matem., 52:1 (1988), 3–15 | MR

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

[5] Dreset J.-M., “Fibrés exceptionells et suite spectralede Beilinson generalise sur $\mathbf{P}_2(\mathbf{C})$”, Math. Ann., 275:1 (1986), 25–48 | DOI | MR

[6] Dreset J.-M., “Fibrés exceptionnels et variétés de modules de faisceaux semi-stables sur $\mathbf{P}_2(\mathbf{C})$”, J. Reine Angew. Math., 1987, no. 380, 14–58 | MR

[7] Kapranov M. M., “Proizvodnaya kategoriya kogerentnykh puchkov na mnogoobraziyakh Grassmana”, Izv. AN SSSR. Ser. matem., 48:1 (1984), 192–202 | MR

[8] Kapranov M. M., “Proizvodnaya kategoriya kogerentnykh puchkov na kvadrike”, Funkts. analiz i ego prilozh., 20:2 (1986), 67 | MR | Zbl

[9] Mukai S., “On the moduli spaces of bundles on K3 surfaces, I”, Vector bundles on algebraic Varietes (Bombay Colloquim), Oxford. Univ. Press, 1984

[10] Okonek K., Shneider M., Shpindler X., Vektornye rassloeniya na kompleksnykh proektivnykh prostranstvakh, Mir, M., 1984 | MR | Zbl

[11] Rudakov A. N., “Chisla Markova i isklyuchitelnye rassloeniya na $\mathbf{P}^2$”, Izv. AN SSSR. Ser. matem., 52:1 (1988), 100–112 | MR

[12] Rudakov A. N., “Isklyuchitelnye rassloeniya na kvadrike”, Izv. AN SSSR. Ser. matem., 52:4, 782–812