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:
“One must always maintain one’s connection to the past and yet ceaselessly pull away from it. To remain in touch with the past requires a love of memory. To remain in touch with the past requires a constant imaginative effort.”
—Gaston Bachelard (1884–1962)
“Morality becomes hypocrisy if it means accepting mothers’ suffering or dying in connection with unwanted pregnancies and illegal abortions and unwanted children.”
—Gro Harlem Brundtland (b. 1939)
“If variety is capable of filling every hour of the married state with the highest joy, then might it be said that Lord and Lady Dellwyn were completely blessed, for every idea that had the power of raising pleasure in the bosom of the one, depressed that of the other with sorrow and affliction.”
—Sarah Fielding (1710–1768)