Let be the standard graded polynomial ring over a field . We’ll study the Lyubeznik numbers of two homogeneous ideals of whose initial ideals are linked for some monomial order over . We’ll also investigate some relations between Lyubeznik and Betti numbers of homogeneous ideals.
"Lyubeznik and Betti numbers for homogeneous ideals." Rocky Mountain J. Math. 50 (6) 2157 - 2165, December 2020. https://doi.org/10.1216/rmj.2020.50.2157