Gorenstein ideals of codimension four

Abstract: We explore spinor coordinates on free resolutions of codimension four Gorenstein ideals. Our analysis of spinor coordinate examples shows notable differences between Gorenstein ideals with 4, 6, 7, and 8 generators compared to those with more generators. Also, we discuss the codimension four Gorenstein ideals resulting from doubling codimension three perfect ideals. We see, in particular, the construction of generic doublings of almost complete intersection perfect ideals of codimension three.

Mathematics

Audience: advanced learners

IIT Bombay Virtual Commutative Algebra Seminar

Series comments: Note: To get meeting ID,fill the Google form on the web-site of the series sites.google.com/view/virtual-comm-algebra-seminar/home