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:
“In different hours, a man represents each of several of his ancestors, as if there were seven or eight of us rolled up in each man’s skin,—seven or eight ancestors at least, and they constitute the variety of notes for that new piece of music which his life is.”
—Ralph Waldo Emerson (1803–1882)