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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-2-2, author = {Keivan Borna and Ahad Rahimi and Syrous Rasoulyar}, title = {Relative Buchsbaumness of bigraded modules}, journal = {Colloquium Mathematicae}, volume = {126}, year = {2012}, pages = {161-172}, zbl = {1251.13020}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-2-2} }
Keivan Borna; Ahad Rahimi; Syrous Rasoulyar. Relative Buchsbaumness of bigraded modules. Colloquium Mathematicae, Tome 126 (2012) pp. 161-172. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-2-2/