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Algebra & Combinatorics Seminar

Title: Buchsbaumness and Castelnuovo-Mumford regularity of non-smooth monomial curves
Speaker: Ngo Viet Trung (Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam)
Date: 01 July 2024
Time: 2 pm
Venue: LH-1, Mathematics Department

Projective monomial curves correspond to rings generated by monomials of the same degree in two variables. Such rings always have finite Macaulayfication. We show how to characterize the Buchsbaumness and the Castelnuovo–Mumford regularity of these rings by means of their finite Macaulayfication, and we use this method to study the Buchsbaumness and to estimate the Castelnuovo–Mumford regularity of large classes of non-smooth monomial curves in terms of the given monomials.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 15 Jul 2024