Connection To Picard Variety
The Albanese variety is dual to the Picard variety (the connected component of zero of the Picard scheme classifying invertible sheaves on V):
For algebraic curves, the Abel–Jacobi theorem implies that the Albanese and Picard varieties are isomorphic.
Read more about this topic: Albanese Variety
Famous quotes containing the words connection to, connection and/or variety:
“It may comfort you to know that if your child reaches the age of eleven or twelve and you have a good bond or relationship, no matter how dramatic adolescence becomes, you children will probably turn out all right and want some form of connection to you in adulthood.”
—Charlotte Davis Kasl (20th century)
“It may comfort you to know that if your child reaches the age of eleven or twelve and you have a good bond or relationship, no matter how dramatic adolescence becomes, you children will probably turn out all right and want some form of connection to you in adulthood.”
—Charlotte Davis Kasl (20th century)
“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)