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)
“The Transcendentalist adopts the whole connection of spiritual doctrine. He believes in miracle, in the perpetual openness of the human mind to new influx of light and power; he believes in inspiration, and in ecstacy.”
—Ralph Waldo Emerson (1803–1882)
“The indications are that swearing preceded the development of cursing. That is, expletives, maledictions, exclamations, and imprecations of the immediately explosive or vituperative kind preceded the speechmaking and later rituals involved in the deliberate apportioning of the fate of an enemy. Swearing of the former variety is from the lips only, but the latter is from the heart. Damn it! is not that same as Damn you!”
—Ashley Montagu (b. 1905)