In mathematics, the Jacobian variety J(C) of a non-singular algebraic curve C of genus g is the moduli space of degree 0 line bundles. It is the connected component of the identity in the Picard group of C, hence an abelian variety.
Read more about Jacobian Variety: Introduction, Construction Over For Complex Curves, Further Notions
Famous quotes containing the word variety:
“A poem is like a person. Though it has a family tree, it is important not because of its ancestors but because of its individuality. The poem, like any human being, is something more than its most complete analysis. Like any human being, it gives a sense of unified individuality which no summary of its qualities can reproduce; and at the same time a sense of variety which is beyond satisfactory final analysis.”
—Donald Stauffer (b. 1930)