This article is cited in 9 papers

Special 0-cycles on a polarized $K3$ surface

A. N. Tyurin


Abstract: 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.

UDC: 512.7

MSC: Primary 14C25, 14J28; Secondary 14F05, 14H45

Received: 27.12.1985

 English version: Mathematics of the USSR-Izvestiya, 1988, 30:1, 123–143

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