Math 624, fall 2014
Algebraic Geometry
- Faculty: David Harbater
- E-mail:
harbater AT math.upenn.edu
- Telephone: (215) 898-9594; Department office: (215) 898-8178
- Office: DRL
4E2A; Department office: DRL 4W1-6.
- Office hours: After class, by appointment, and as scheduled.
First semester graduate algebraic geometry. This course
will provide an introduction to algebraic geometry from an algebraic
(as opposed to analytic) point of view. It will discuss algebraic varieties
and schemes, with an emphasis on curves. Notions such as sheaves, morphisms,
divisors, and bundles will be discussed. This course is a prerequisite for
Math 625, which will be offered the following semester and will go more
in depth, discussing Riemann-Roch for curves and surfaces and using a
cohomological framework.
Class schedule: Mon and Wed, 1:30-3pm in DRL 4N30, from Sept. 3 to
Dec. 8, 2014, and some occasional meetings on Fridays
at the same time and place (as announced). Note:
Wed., Nov. 26 (day before Thanksgiving
break) is a University Friday, and so there is no class
that day. Extra classes on Oct. 3, Oct. 24, Nov. 7, Dec. 10; no class
Oct. 27 and Oct. 29.
Main references:
- "Algebraic Geometry" by Robin Hartshorne. Springer, Graduate Texts in Mathematics, volume 52, 1977.
- "Algebraic Curves" by William Fulton. W.A. Benjamin (Benjamin/Cummings), 1969.
There will be regular problem sets and one exam in class (but no
final exam).
Homework assignments for Math 624
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