Mathematics

The Prym variety of a ramified double covering of a trigonal curve

S. G. Dalalyan

Yerevan State University

Abstract: Given a two-sheeted covering and $\pi:C'\rightarrow C$ a three-sheeted covering $t:C\rightarrow X$ of complete non-singular curves, a four-sheeted covering $q:Y\rightarrow X$ is constructed and a two-sheeted covering $p:Y'\rightarrow Y$ so that the Prym varieties of two-sheeted coverings are connected by a pair of homomorphisms inducing mutually inverse isomorphisms for $X=P_1$ and some restrictive branching condition.

UDC: 513.6

Received: 14.03.1983
Accepted: 01.06.1984