Upper bounds on two Hilbert coefficients (joint work with Juan Elias, Le Tuan Hoa)

Time: 14:00 to  15:30 Ngày 26/04/2022

Venue/Location: C102, VIASM

Speaker: Le Xuan Dung (Hong Duc University)

Content:

New upper bounds on the first and the second Hilbert coefficients of a Cohen-Macaulay module over a local ring are given. Characterizations are provided for some upper bounds to be attained. The characterizations are given in terms of Hilbert series as well as in terms of the Castelnuovo-Mumford regularity of the associated graded module.