Finiteness of Associated Primes of Local Cohomology Modules Over   Stanley-Reisner Rings
  Local cohomology modules, even over a Noetherian ring $R$, are typically unwieldly. As such, it is of interest whether or not they have finitely many associated primes. We prove the affirmative in the case where $R$ is a Stanley-Reisner ring over a field, whose associated simplicial complex is a $T$-space. 
Roberto Barrera, Jeffrey Madsen, Ashley K. Wheeler
math.AC