Toward the theory on local cohomologies at the ideals given by simplicial posets

Kosuke Shibata, Kohji Yanagawa

For a simplicial poset $P$, Stanley assigned the face ring $A_P$, which is the quotient of the polynomial ring $S:=K[t_x\mid x\in P\setminus \{\hat{0}\}]$ by the ideal $I_P…