Special 0-cycles on a polarized $K3$ surface
Izvestiya. Mathematics, Tome 30 (1988) no. 1, pp. 123-143
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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.
@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/}
}
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/
[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