Math 256A, Algebraic Geometry, Fall 2017


Instructor: David Nadler

Office Hours: by appointment, 815 Evans.


Lectures: Tuesdays and Thursdays 9:30-11am, 3 Evans.


Course number: 16382


Prerequisites: Math 250A-250B or equivalent familiarity with abstract algebra.


Sources:


Syllabus: This will be an introduction to algebraic geometry in the language of schemes.

  1. Sheaves (FOAG, Chapter 2).
  2. Affine schemes (FOAG, Chapter 3).
  3. Schemes (FOAG, Chapter 4).
  4. Properties of schemes (FOAG, Chapter 5).
  5. Morphisms of schemes (FOAG, Chapter 6 and some of Chapters 7-9).
  6. Varieties (FOAG, Chapter 10).
  7. Dimension, smoothness (FOAG, some of Chapters 11-12).

Evaluation: There will be a weekly quiz but no exams.

  1. Quiz 1 (Th Aug 31, 2017)
  2. Quiz 2 (Th Sep 7, 2017)