Commutative algebra 3 (What is a syzygy?)
Channel: Richard E Borcherds
Date: 2020-08-04

This lecture is part of an online course on commutative algebra, following the book
"Commutative algebra with a view toward algebraic geometry" by David Eisenbud.

We give several examples of rings of invariants and syzygies. 

Correction: Near the end (last but one sheet) I missed out one of the second order syszygies: 
as well as b=z1a1+z2a2+z3a3 I should have included z0a1+z1a2+z2a3. And the R^1 in the exact sequence should be R^2.

Reading: Section 1.3
Exercises: 1.6, 1.7