The dual Abelian variety of an Abelian variety
parametrizes its algebraically trivial
line bundles up to isomorphism.
It is
,
has the same dimension as
, and has a canonical bidual isomorphism
(Milne 2008, pp. 36-38).
Dual Abelian Variety
See also
Abelian Variety, Abelian Variety Polarization, Albanese Variety, Line Bundle, Picard VarietyExplore with Wolfram|Alpha
References
Milne, J. S. "Abelian Varieties." 2008. https://www.jmilne.org/math/CourseNotes/AV.pdf.Cite this as:
Weisstein, Eric W. "Dual Abelian Variety." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DualAbelianVariety.html