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:
“There is a history in all men’s lives,
Figuring the natures of the times deceased,
The which observed, a man may prophesy,
With a near aim, of the main chance of things
As yet not come to life.”
—William Shakespeare (1564–1616)
“History has neither the venerableness of antiquity, nor the freshness of the modern. It does as if it would go to the beginning of things, which natural history might with reason assume to do; but consider the Universal History, and then tell us,—when did burdock and plantain sprout first?”
—Henry David Thoreau (1817–1862)
“So in accepting the leading of the sentiments, it is not what we believe concerning the immortality of the soul, or the like, but the universal impulse to believe, that is the material circumstance, and is the principal fact in this history of the globe.”
—Ralph Waldo Emerson (1803–1882)