Geodesic
Special 0-cycles on a polarized $K3$ surface
Izvestiya. Mathematics, Tome 30 (1988) no. 1, pp. 123-143 
A. N. Tyurin. Special 0-cycles on a polarized $K3$ surface. Izvestiya. Mathematics, Tome 30 (1988) no. 1, pp. 123-143. http://geodesic.mathdoc.fr/item/IM2_1988_30_1_a6/
@article{IM2_1988_30_1_a6,
     author = {A. N. Tyurin},
     title = {Special 0-cycles on a~polarized $K3$~surface},
     journal = {Izvestiya. Mathematics},
     pages = {123--143},
     year = {1988},
     volume = {30},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1988_30_1_a6/}
}
TY  - JOUR
AU  - A. N. Tyurin
TI  - Special 0-cycles on a polarized $K3$ surface
JO  - Izvestiya. Mathematics
PY  - 1988
SP  - 123
EP  - 143
VL  - 30
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/IM2_1988_30_1_a6/
LA  - en
ID  - IM2_1988_30_1_a6
ER  - 
%0 Journal Article
%A A. N. Tyurin
%T Special 0-cycles on a polarized $K3$ surface
%J Izvestiya. Mathematics
%D 1988
%P 123-143
%V 30
%N 1
%U http://geodesic.mathdoc.fr/item/IM2_1988_30_1_a6/
%G en
%F IM2_1988_30_1_a6

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

In this paper, to a cycle on a polarized $K3$ surface we associate a bundle over this surface. This construction is applied to give a description of special cycles and the geometry of smooth curves lying on a polarized $K3$ surface. Bibliography: 3 titles.

[1] Arbarello K., Cornalba M., Griffiths Ph., Harris J., Geometry of Algebraic Curves, v. I, Springer-Verlag, Berlin, Heideberg, N.Y., 1985 | Zbl

[2] Mukai S., “Symplectic structure of the moduli space of sheaves on abelian or K3 surface”, Invent. Math., 62 (1984), 1–21 | MR

[3] Ortland D., Moduli of finite point sets in projective space, Dissertation D.Ph., Univ. Michigan, 1984