Elements of Algebraic Geometry

III. Cohomological study of coherent sheaves — Part two

A. Grothendieck (with the collaboration of J. Dieudonné).

Publications mathématiques de l'IHÉS, tome 17 (1963), pp. 5–91. numdam.org/item?id=PMIHES_1963__17__5_0

© Publications mathématiques de l'I.H.É.S., 1963.

Chapter III (continued) — Cohomological study of coherent sheaves

This second part continues Chapter III at §6. Sections §6 and §7 are the bulk of this part; §§8 through 11, sketched in the introduction to Part 1, were never published.

Sommaire (Part 2)

• §6. Local and global Tor and Ext functors; the Künneth formula.
• §7. Study of base change in the covariant cohomological functors of modules.

The numbering, citations, and terminology continue Part 1 directly; cross-references inside this part read (6.N.M) or (7.N.M), while references back into Part 1 keep the short form (1.4.10) and so on, since both parts share a single chapter.