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Picard Variety

Let $V$ be a Variety, and write $G(V)$ for the set of divisors, $G_l(V)$ for the set of divisors linearly equivalent to 0, and $G_a(V)$ for the group of divisors algebraically equal to 0. Then $G_a(V)/G_l(V)$ is called the Picard variety. The Albanese Variety is dual to the Picard variety.

See also Albanese Variety


Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 75, 1980.

© 1996-9 Eric W. Weisstein