THE FOUNDATION OF CRYSTALLINE COHOMOLOGY

GROTHENDIECK, A.

On the de Rham Cohomology of Algebraic Varieties.

[Paris, Presses Universitaires de France, 1966].

4to. In the original stapled blank blue printed wrappers. Offprint from "Institut des Hautes Études Scientifiques. Publications Mathématiques" No. 29. Light wear to extrimities, otherwise fine and clean. Pp. 95-103, (1).

Scarce offprint issue of Grothendieck's seminal paper in which he founded crystalline cohomology. He introduced crystalline cohomology to study the p-torsion part of the cohomology of characteristic p varieties. In the crystalline topology which is the basis of this theory, covering maps are given by infinitesimal thickenings together with divided power structures. The crystalline covers of a fixed scheme form a category with no final object.

Order-nr.: 48369