We construct a shellable polytopal cell complex that supports a minimal free resolution of a Borel fixed ideal, which is Borel generated by just one monomial in S = k[x 1 , x 2 , . . . , x n ]; this includes the case of powers of the homogeneous maximal ideal (x 1 , x 2 , . . . , x n ) as a special case. In our most general result we prove that for any Borel fixed ideal I generated in one degree, there exists a polytopal cell complex that supports a minimal free resolution of I .
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.