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

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

Referenced on Wolfram|Alpha

Picard Variety

Cite this as:

Weisstein, Eric W. "Picard Variety." From MathWorld--A Wolfram Web Resource.

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