Abstract
In the fall of 1921, the University of Rome was the most important center of algebraic geometry in the world. This chapter discusses the combined efforts of three great Italian mathematicians—Guido Castelnuovo, Federigo Enriques, and Francesco Severi—because of which the Italians carried algebraic geometry off in a startling new direction. Speaking of geometric intuition, they pushed their way into the gray area between proof and rigorous proof, on what turned out to be an exciting but perilous journey. They used whichever tools were at hand, whether algebro-geometric, transcendental, or topological, coupled with a geometrical imagination that gave the subject a beauty to match that of the Italian scene. Oscar Zariski had the great fortune of finding there on the faculty three great mathematicians, whose very names now symbolize classical algebraic geometry, namely, G. Castelnuovo, F. Enriques, and F. Severi.
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