History
The rational equivalence and the ring A* was defined by the Italian school of the algebraic geometry in the early 20th century and was used by Severi and his school. (See, for example, Severi's papers, where Severi essentially studies the group A0(S) for an algebraic surface S, and remarks in the beginning of the Mumford's paper. Segre uses a subtle study of the group A0 of a singular curve in his 1930 paper to describe branch curves of algebraic surfaces in P2. The ring A* was called Chow ring after W.-L. Chow wrote an important review in 1956 . Some geometers hold to the opinion that the term "Chow ring" for the ring of algebraic cycles modulo rational equivalence was offered by Grothendieck.
Read more about this topic: Chow Ring
Famous quotes containing the word history:
“History ... is, indeed, little more than the register of the crimes, follies, and misfortunes of mankind.
But what experience and history teach is this—that peoples and governments have never learned anything from history, or acted on principles deduced from it.”
—Georg Wilhelm Friedrich Hegel (1770–1831)
“The history of this country was made largely by people who wanted to be left alone. Those who could not thrive when left to themselves never felt at ease in America.”
—Eric Hoffer (1902–1983)
“Jesus Christ belonged to the true race of the prophets. He saw with an open eye the mystery of the soul. Drawn by its severe harmony, ravished with its beauty, he lived in it, and had his being there. Alone in all history he estimated the greatness of man.”
—Ralph Waldo Emerson (1803–1882)