# Preprints and Classics 3: Resolutions, Context Free Groups, Hitchin Pairs

Posted by Jason Polak on 03. August 2013 · Write a comment · Categories: math

• Gwyneth R. Whieldon, Infinite Free Resolutions over Monomial Rings in Two Variables: Let $k$ be a field. The author constructs an explicit free resolution of $k$ over $k[x,y]/M$ where $M$ is a monomial ideal given by an explicit minimal generating set, and uses this to compute the Betti series of $k$ over the $k[x,y]/M$. This paper contains some nice examples.