It is less than four years since cohomological methods (i.e. methods of Homological Algebra) were introduced into Algebraic Geometry in Serre's fundamental paper^[11], and it seems certain that they are to overflow the part of mathematics in the coming years, from the foundations up to the most advanced parts. ... [11] Serre, J. P. Faisceaux algébriques cohérents. Ann. Math. (2), 6, 197–278 (1955).

What It Means

This is a placeholder explanation generated by the low-overhead model. It interprets "It is less than four years since cohomological methods (i.e. methods of Homological Algebra) were introduced into Algebraic Geometry in Serre's fundamental paper^[11], and it seems certain that they are to overflow the part of mathematics in the coming years, from the foundations up to the most advanced parts. ... [11] Serre, J. P. Faisceaux algébriques cohérents. Ann. Math. (2), 6, 197–278 (1955)." in the context of "(1960), Proc. Internat. Congress Math.(Edinburgh, 1958) chapter: The cohomology theory of abstract algebraic varieties, pages: 103–118, publisher: Cambridge University Press (p. 103)" to mean that wisdom is timeless.