MATH 256A, FALL 2011, SYLLABUS
MARTIN OLSSON
Instructor: Martin Olsson
Office, phone, and email: 879 Evans hall, 510-642-5229, molsson@math.berkeley.edu.
Class Meetings: MWF 1-2, Room 81 Evans.
No meetings Monday and Wednesday Aug 29 and 31 . Makeup classes will be scheduled later in the semester.
Course Control Number: 54581
Office Hours: Monday 11-1.
Prerequisites: A graduate-level course in abstract algebra.
Recommended Texts:
(1) Hartshorne, Algebraic Geometry , Springer Graduate Texts in Mathematics 52.
(2) Vakil, Foundations of algebraic geometry , preliminary version, available at: http://math.stanford.edu/˜vakil/216blog/
(3) Mumford, The red book of varieties and schemes , Springer Lecture Notes in Math
1358.
eometrie Alg´ , Publ. IHES 4, 8,
11, 17, 20, 24, 28, 32 (1961-1967)
Topics to be covered: This course together with its sequel Math 256B in the spring is an introduction to scheme theory and algebraic geometry in its modern formulation. The one-year course will loosely follow Chapter II-V of Hartshorne’s Algebraic Geometry book, with some supplemental material from other sources.
The first semester I hope to cover the basic language of scheme theory and some curve theory. The second semester will be focused on cohomology and surface theory.
Homework: There will be weekly homework. This course moves very fast, and for this reason no late homework will be accepted.
Grading: Grades will be based on weekly homework.
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