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:
“America is the only nation in history which miraculously has gone directly from barbarism to degeneration without the usual interval of civilization.”
—Georges Clemenceau (1841–1929)
“There is a constant in the average American imagination and taste, for which the past must be preserved and celebrated in full-scale authentic copy; a philosophy of immortality as duplication. It dominates the relation with the self, with the past, not infrequently with the present, always with History and, even, with the European tradition.”
—Umberto Eco (b. 1932)
“Whenever we read the obscene stories, the voluptuous debaucheries, the cruel and torturous executions, the unrelenting vindictiveness, with which more than half the Bible is filled, it would be more consistent that we called it the word of a demon than the Word of God. It is a history of wickedness that has served to corrupt and brutalize mankind.”
—Thomas Paine (1737–1809)