Math 581FB
Cohen-Macaulay modules over Cohen-Macaulay rings
Paul Smith
Autumn 2004, Monday/Wednesday/Friday 1:30
Most common algebraic varieties that fail to be smooth are
Cohen-Maculay. Thyis is a techinical condition having many differenc
albegraic interpretations/definitions. The Cohen-Macaulay modules over such
a variety (or commutative ring) often have a very beautiful structure that
connects with representation theory and encodes subtle geometric
information relating to the exceptional fibers in a resolution.
This course is a good complement to a first course on algebraic geometry
and/or commutative algebra.
Text: Y. Yoshino, Cohen-Macaulay modules over Cohen-Macaulay
rings, Lond Math. Soc. Lect. Notes Ser. 146 (1990). Cambridge
University Press.
Prerequisite: Math 504/5/6.