Realizing Algebra Structures on Free Resolutions of Grade 3 Perfect Ideals

Alexis Hardesty

Perfect ideals $I$ of grade $3$ in a local ring $(R,\mathfrak{m},\mathbb{k})$ can be classified based on multiplicative structures on ${\text{Tor}}_{\bullet }^R(R/I,\mathbb{k})$. The classifica…