Linear balls and the multiplicity conjecture (Q934102)

In the paper under review the authors deal with the problem of finding a natural class of spheres whose Stanley-Reisner rings satisfy the multiplicity conjecture. They prove that the Stanley-Reisner ring of the sphere which is the boundary complex of a linear ball satisfies the multiplicity conjecture. Finally a class of shellable spheres whose Stanley-Reisner rings satisfy the multiplicity conjecture is presented.