Notes repository

This is a collection of personal notes on various topics used for teaching. Some notes are password-protected. The password is/was given in class.

Notes following books

An invitation to algebraic geometry by Smith. et. al. (2000)

• 1. Affine algebraic varieties
• 2. Algebraic foundations
• 3. Projective varieties
• 4. Quasi-projective varieties
• 5. Classical constructions
• 6. Smoothness
• 7. Birational geometry

Anki flashcard decks: 1

The geometry of schemes by Eisenbud & Harris (2000)

• II.3.3 Embedded points
• II.3.4 Flat families of schemes
• II.3.5 Multiple lines

Miscellaneous notes

• Covariance and contravariance (of vectors) (May 13, 2024)
• Examples and counterexamples in sheaf theory (Apr 24, 2024)
• Real representations of cyclic groups (Jul 28, 2023)
• Pell's equation (Jul 12, 2023)

External material

• Blowup in a point (Beautiful animation of a blowup, low resolution unfortunately.)
• ℙ¹ as a colimit (By David Roberts (2021). From An exercise in colimits.)