This article is cited in 1 paper

On the set of singularities of the Poincaré divisor of the Picard variety of the Fano surface of a nonsingular cubic

A. N. Tyurin


Abstract: In the paper it is proved that the singular points of the Poincaré divisor of the Picard variety of the Fano surface of a nonsingular cubic are contained in the set of points of second and third orders of the abelian variety or in elliptic curves corresponding to the inflection points of the cubic.

UDC: 513.6

MSC: Primary 14J25; Secondary 14B05, 14C20

Received: 14.02.1972

 English version: Mathematics of the USSR-Izvestiya, 1972, 6:5, 938–948

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