Yuta Hatasa

A palindromicity criterion for the h -polynomials of bipartite edge rings

We study a symmetry problem for the [Formula: see text]-polynomials of edge rings of bipartite graphs. Let [Formula: see text] be a bipartite graph and write [Formula: see text]. We prove that if [Formula: see text] is pseudo-Gorenstein and [Formula: see text], then [Formula: see text] is Gorenstein. Equivalently, unde...