This webpage contains lecture notes, homeworks for algebraic geometry. Disclaimer: contains mistakes. Use at your own risk.
Lecture notes:
Lecture 1 (01.03.2021) Abelian categories
Lecture 2 (05.03.2021) Sheaves. Sheaves form an abelian category
Lecture 3 (08.03.2021) Sheafification. Direct and inverse images.
Lecture 4 (15.03.2021) Exact sequences, exact functors, adjunction between direct and inverse image.
Lecture 5 (19.03.2021) Exactness and other properties of the inverse image.
Lecture 6 (22.03.2021) Derived functors (motivation).
Lecture 7 (26.03.2021) Derived functors (details).