629 002: Commutative Algebra II (Fall, 2013)
a syllabus (which may be amended in
the near future).
Here's homework assignment 1.
Some resources to use before we get to Bruns & Herzog:
Here's homework assignment 2. (Of course, all theorem numbers and such are references to Bruns and Herzog.)
Here's homework assignment 3.
Regarding the Koszul complex: We won't need to explore it in the kind
of depth that the book contains. Hence, my source material on the
Koszul complex will come largely from Matsumura (pp. 127-131) with some
help from Hochster's notes.
(Note there are two links, to consecutive lectures. They also
contain information we don't need. Start the first link on p.5,
under the heading "Mapping Cones".)
For further understanding of the Koszul complex, check this out if you like.
Here's homework assignment 4.
For a limited time only, some hints and answers to assignments 2 and 3!
And now, solutions to assignment 4 as well.