Let
be a variety, and write
for the set of divisors,
for the set of divisors linearly equivalent to 0, and
for the group of divisors algebraically
equal to 0. Then
is called the Picard variety. The Albanese variety
is dual to the Picard variety.
Picard Variety
See also
Albanese VarietyExplore with Wolfram|Alpha
References
Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 75, 1980.Referenced on Wolfram|Alpha
Picard VarietyCite this as:
Weisstein, Eric W. "Picard Variety." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PicardVariety.html