|Location:||MSRI: Simons Auditorium|
In 1995, Villarreal gave a combinatorial description of the defining ideals of Rees algebras of quadratic square-free monomial ideals. In this paper we will generalize his results for hypergraphs.
Our approach is based on giving a definition of closed even walks in a simplicial complex. We apply this combinatorial method to square-free monomial ideals of higher dimension.