Lecture 15: Quasi-coherent sheaves II

We covered 14.13–14.14 and 14.16–14.19 of Gathmann's notes.

• Restriction and extension of scalars.
• Pull-back of sheaves (f^-1 for abelian groups and f^* for modules)
• Properties: stalks, composition, compatibility with direct sums and tensor products.
• Locally free sheaves.

Suggested exercises: see previous exercises. Read Remark 14.14 (b) and Lemma 14.15.