"In its early phase (Abel, Riemann, Weierstrass), algebraic geometry was just a chapter in analytic function theory. ... A new current appeared however (1870) under the powerful influence of Max Noether who really put "geometry" and more "birational geometry" into algebraic geometry. In the classical mémoire of Brill-Noether (Math. Ann., 1874), the foundations of "geometry on an algebraic curve" were laid down centered upon the study of linear series cut out by linear systems of curves upon a fixed curve ƒ{x, y) = 0. This produced birational invariance (for example of the genus p) by essentially algebraic methods."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
Academics from the United StatesJews from the United StatesImmigrants to the United StatesMathematicians from the United StatesJews from Russia
Original Language: English
Available Languages (1)
Sources
(quote from p. 855)
https://en.wikiquote.org/wiki/Solomon_Lefschetz
Revision History
No revisions have been submitted for this quote.
Categories
Solomon Lefschetz
Solomon Lefschetz (3 September 1884 - 5 October 1972) was an American mathematician who did fundamental work on algebraic topology and its applications to algebraic geometry.
10 quotes on TrueQuotesView all quotes by Solomon Lefschetz →
Related Quotes
"The numerical relations existing between ordinary or so-called Plückerian singularities of a plane curve were determi…"
"In the development of the theory of algebraic functions of one variable the introduction by Riemann of the surfaces t…"
"It will be remembered that the positions on a Riemann surface are treated by Hensel, Landsberg, and Jung as arithmeti…"
"As is well known, when one endeavors to pass from one-dimensional birational geometry to the higher dimensions, the d…"
"It was my lot to plant the harpoon of algebraic topology into the body of the whale of algebraic geometry."
"It is quite obvious that he was strongly influenced by the similar problems in algebraic geometry, and in particular …"
"Solomon Lefschetz had a reputation for “kibitzing” during the lectures of colleagues; at perhaps the first public tal…"
"Lefschetz made a brief trip to Rome, and I asked Severi what he thought of Lefschetz's work. È bravo,' Severi told me…"
"I would read Lefschetz's book on analysis situs and algebraic geometry - the book about which Hodge used to say that …"
"Aye, think! Since time and life began, Your mind has only feared and slept; Of all the beasts they called you man Onl…"