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Vietnam Journal of Mathematics 36:3(2008) 353-372  Local Cohomology Modules with Support in 2-regular Monomial Ideals Dao Thanh Ha and Marcel Morales Abstract.  In this paper $S:=K[V]$ will be a polynomial ring on a finite set of variables $V$,and $\mathcal{Q}\subset S$ be a 2-regular monomial ideal. We will compute the local cohomology module $H^i_\mathcal{Q}(S)$ and describe the set of its associated primes.   2000 Mathematics Subject Classification: 13D45, 14B15, 32S22. Keywords: Local cohomology, square free monomial ideals, arrangements of linear spaces, Castelnuovo-Mumford regularity.

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