Modified: Saturday, Dec 13, 2014.

What is new: Sec 7: Coherent sheaves (expanded version of last two lectures)

- Preliminary notes.
- Lecture notes section 1 (days 1-6: Affine varieties as sets.) New version with colors to indicate transition from varieties to schemes. Table of contents added.
- Lecture notes section 2 (days 7,8,9) projective varieties (and corresponding schemes) as sets
- Lectures notes sec 3 Sheaves give additional structure making algebraic sets into affine varieties.
- Sec 4: Affine varieties.
- Sec 5: Affine schemes
- Prevarieties: patch together affine varieties.
- Varieties: are prevarieties satisfying a Hausdorff property.
- Definition of a scheme.
- Sec 7: Coherent sheaves (last two lectures)

- Math 202a: Algebraic Geometry I
- Classroom: Goldsmith 226.
- Text:
**Red book of varieties and schemes**by D. Mumford, with additional material from**Algebraic geometry: A first course**by J. Harris and**Algebraic geometry: Introduction to schemes**by I. Macdonald. - Class format: Lectures and discussion of exercises.
- Syllabus.

- Instructor: Kiyoshi Igusa
- Location: Goldsmith 305
- Office Hours: M 10:30-12, W 1-2:30
- Phone 63062.
- email: igusa(at)brandeis(dot)edu

Home page: Kiyoshi Igusa | Started: September 8, 2014 Last modified: (see top of page) | |

Email: igusa@brandeis.edu | URL: http://people.brandeis.edu/~igusa/Papers/Working.htm |