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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 Q S be a 2-regular monomial ideal. We will compute the local cohomology module (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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Published by Springer since January 2013