Geodesic
Constructibility of exceptional pairs of vector bundles on a quadric
Izvestiya. Mathematics, Tome 42 (1994) no. 1, pp. 163-171 
S. Yu. Ziuzina. Constructibility of exceptional pairs of vector bundles on a quadric. Izvestiya. Mathematics, Tome 42 (1994) no. 1, pp. 163-171. http://geodesic.mathdoc.fr/item/IM2_1994_42_1_a8/
@article{IM2_1994_42_1_a8,
     author = {S. Yu. Ziuzina},
     title = {Constructibility of exceptional pairs of vector bundles on a quadric},
     journal = {Izvestiya. Mathematics},
     pages = {163--171},
     year = {1994},
     volume = {42},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1994_42_1_a8/}
}
TY  - JOUR
AU  - S. Yu. Ziuzina
TI  - Constructibility of exceptional pairs of vector bundles on a quadric
JO  - Izvestiya. Mathematics
PY  - 1994
SP  - 163
EP  - 171
VL  - 42
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/IM2_1994_42_1_a8/
LA  - en
ID  - IM2_1994_42_1_a8
ER  - 
%0 Journal Article
%A S. Yu. Ziuzina
%T Constructibility of exceptional pairs of vector bundles on a quadric
%J Izvestiya. Mathematics
%D 1994
%P 163-171
%V 42
%N 1
%U http://geodesic.mathdoc.fr/item/IM2_1994_42_1_a8/
%G en
%F IM2_1994_42_1_a8

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

A theorem is proved to the effect that each exceptional pair of vector bundles on a two-dimensional quadric can be supplemented to a coil of a helix. A condition is presented when this coil can be obtained from a given one by tightening transformations.

[1] Drezet J.-M., Le Potier J., “Fibrés stables et fibres exeptionnels sur $\mathbf{P}^2$”, Ann. Scient. ENS, 18:2 (1985), 193–243 | MR | Zbl

[2] Gorodentsev A. L., “Isklyuchitelnye puchki na poverkhnostyakh s podvizhnym antikanonicheskim klassom.”, Izv. AN SSSR. Ser. matem., 52:4 (1988), 740–756

[3] Rudakov A. N., “Isklyuchitelnye rassloeniya na kvadrike”, Izv. AN SSSR. Ser. matem., 52:4 (1988), 782–812