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We study finitely generated bigraded Buchsbaum modules over a standard bigraded polynomial ring with respect to one of the irrelevant bigraded ideals. The regularity and the Hilbert function of graded components of local cohomology at the finiteness dimension level are considered.
Keivan Borna, Ahad Rahimi, and Syrous Rasoulyar. "Relative Buchsbaumness of bigraded modules." Colloquium Mathematicae 127.2 (2012): 161-172. <http://eudml.org/doc/283479>.
@article{KeivanBorna2012, abstract = {We study finitely generated bigraded Buchsbaum modules over a standard bigraded polynomial ring with respect to one of the irrelevant bigraded ideals. The regularity and the Hilbert function of graded components of local cohomology at the finiteness dimension level are considered.}, author = {Keivan Borna, Ahad Rahimi, Syrous Rasoulyar}, journal = {Colloquium Mathematicae}, keywords = {Buchsbaum; bigraded modules; local cohomology; regularity; Hilbert functions}, language = {eng}, number = {2}, pages = {161-172}, title = {Relative Buchsbaumness of bigraded modules}, url = {http://eudml.org/doc/283479}, volume = {127}, year = {2012}, }
TY - JOUR AU - Keivan Borna AU - Ahad Rahimi AU - Syrous Rasoulyar TI - Relative Buchsbaumness of bigraded modules JO - Colloquium Mathematicae PY - 2012 VL - 127 IS - 2 SP - 161 EP - 172 AB - We study finitely generated bigraded Buchsbaum modules over a standard bigraded polynomial ring with respect to one of the irrelevant bigraded ideals. The regularity and the Hilbert function of graded components of local cohomology at the finiteness dimension level are considered. LA - eng KW - Buchsbaum; bigraded modules; local cohomology; regularity; Hilbert functions UR - http://eudml.org/doc/283479 ER -