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Dual Abelian Variety


The dual Abelian variety A^ v of an Abelian variety A parametrizes its algebraically trivial line bundles up to isomorphism. It is Pic^0(A), has the same dimension as A, and has a canonical bidual isomorphism A=(A^ v )^ v (Milne 2008, pp. 36-38).


See also

Abelian Variety, Abelian Variety Polarization, Albanese Variety, Line Bundle, Picard Variety

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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

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