# Spring 2012 MATH 256B 001 LEC

Section | Days/Time | Location | Instructor | CCN |
---|---|---|---|---|

001 LEC | MWF 1-2P | 31 EVANS | OLSSON, M C | 54542 |

Units/Credit | Final Exam Group | Enrollment |
---|---|---|

4 | NONE | Limit:24 Enrolled:11 Waitlist:0 Avail Seats:13 [on 05/03/12] |

**Prerequisites:** 256A

**Required Text:** none.

**Recommended Reading:**Hartshorne, Algebraic Geometry, Springer Graduate Texts in Mathematics 52.
Mumford, The red book of varieties and schemes, Lecture Notes in Math 1358.
Dieudonne and Grothendieck, Elements de Geometrie Algebrique, Publ. IHES 4, 8, 11, 17, 20, 24, 28, 32 (1961-1967).
Vakil, Foundations of Algebraic Geometry.

**Syllabus:** This is the second semester of a year-long introduction to scheme theory and algebraic geometry in its modern formulation. The one-year course will loosely follow Chapter II-V of Harshorne's Algebraic Geometry book, with some supplemental material from other sources. I will start this term by discussing differentials, and then cover some curve theory as in Hartshorne's chapter IV. Then I will discuss cohomology. If time permits, I will cover some surface theory at the end of the term.

**Course Webpage:**

**Grading:** Grading will be based on weekly homework and a term paper.

**Homework:** There will be lots of weekly homework and a term paper.