Instructor: Henri Gillet
Office: 405 SEO
Office Hours: M,W 2-3, W 10-10:50 (Tentative: These will probably
change)
phone: (312) 413-2157
e-mail: gillet@uic.edu
This
course will cover sheaves and schemes. (Roughly speaking chapters 2 and 3
of Hartshorne).
There is
no required text for the course. However, the following books will be
useful reading:
·
"Algebraic Geometry" (Graduate Texts in Mathematics) by Robin Hartshorne
·
"The
Geometry of Schemes" by David Eisenbud and Joe Harris, Springer (Available through Springer
online)
· “Algebraic Geometry and arithmetic curves” by Liu, Oxford U.P.
You may
also find background material in:
·
"Sheaves
in Geometry and Logic: a first introduction to topos theory."
·
“Categories
for the working mathematician” by Saunders MacLane, Springer
·
"The
Red Book of Varieties and Schemes (Lecture Notes in Mathematics) " by
David Mumford (Available
through Springer online)
·
The
section on Category theory in Lang’s “Algebra”
Weekly
homework problems will be assigned, and your grade will be based on them.
Homework
assignments (pdf file)