18.721: Algebraic Geometry, Spring 2020

Class Notes

Course Notes (pdf) modules (pdf)

Reminders

Announcements

I've put the proof that a trigonal curve of genus 5
isn't an intersection of quadrics at the end.

I've been asked about the passing cutoff for the course.
I don't have one. However, I'm unlikely to fail anyone
who does a reasonable amount of work.

Please send feedback with suggestions for the class.

Office hours:.
Mike's are T 10-11:30 and T,Th 1-2.
Chun Hong's are W 10-11PM and F 10-11AM.
We use the same zoom meeting as for the class: 590 832 338.

Please sign in during the first half hour.
We may leave if no one is there.
As always, you can email us at any time.
Since I haven't learned how to use piazza,
email may be better.

Send Pset solutions to Chun Hong
loch@mit.edu

Information

Tentative Subject Outline for the Rest of the Semester (pdf)

Subject Description (pdf)

Old Subject Outline (pdf)

Bibliography (pdf)

Problem Sets

Final Problem Set (pdf)

Problem Set #10 (pdf)

Problem Set #9 (pdf)

Problem Set #8 (pdf)

Problem Set #7 (pdf)

Problem Set #6 (pdf)

Problem Set #5 (pdf)

Problem Set #4 (pdf)

Problem Set #3 (pdf)

Problem Set #2 (pdf)

Problem Set #1 (pdf)

Miscellaneous Exercises (pdf)
(pdf)

Summaries of Class Meetings

    May 11 (pdf)
    May 8 (pdf)
    May 6 (pdf)
    May 4 (pdf)
    May 1 (pdf)
    April 29 (pdf)
    April 27 (pdf)
    April 24 (pdf)
    April 22 (pdf)
    April 17 (pdf)
    April 15 (pdf)
    April 13 (pdf)
    April 10 (pdf)
    April 8 (pdf)
    April 6 (pdf)
    April 3 (pdf)
    April 1 (pdf)
    March 30 (pdf)

Handouts

Comments on the final Pset (pdf)

Comments on Pset 10 (pdf)

Comments on Pset 9 (pdf)

Comments on Pset 8 (pdf)

Comments on Pset 7 (pdf)

Comments on Pset 6 (pdf)

Comments on Pset 5 (pdf)

Comments on Pset 4 (pdf)

Comments on Pset 3 (pdf)

Comments on Pset 2 (pdf)

Comments on Pset 1 (pdf)

Chapter 1 revision (pdf)

Chapter 2 revision (pdf)

Chapter 3 revision (pdf)

Chapter 4 revision (pdf)

Chapter 5 revision (pdf)

Chapter 6 revision (pdf)

Chapter 7 revision (pdf)

Chapter 8 revision (pdf)

Course Staff

Instructor: Mike Artin, artin@math.mit.edu, room 2-274
Office Hours: T,Th 1-2 and T 10-11:30

TA: Chun Hong Lo, loch@mit.edu, room 2-231A
Office Hour: W 10-11PM, F 10-11AM

Email us to set up an appointment if you can't make those times.