9 papers · 1 filter
The Betti numbers and Golodness of numerical semigroup rings of Sally type
Manav Batavia, Omkar Javadekar, Manohar Kumar
We determine explicit formulae for the Betti numbers of the defining toric ideals of two families of numerical semigroups of Sally type, resolving and extending beyond several conj…
v-numbers of symbolic-ordinary discrepancy modules
Manohar Kumar, Nguyen Cong Minh, N. C. Minh +1
In this paper, we study the -number of the symbolic-ordinary discrepancy modules over standard graded Noetherian rings. We show that this coincide…
Regularity of symbolic powers of complementary edge ideals
Truong Thi Hien, Manohar Kumar
Let \(G\) be a finite simple graph on \(n\) vertices, and let \(I_c(G)\) be its complementary edge ideal. We determine \(\reg(I_c(G)^{(t)})\) for every \(t\geq1\) in terms of the n…
Homological shift ideals of weighted oriented graphs
Manohar Kumar, Joydip Mondal, Ramakrishna Nanduri
In this paper, we study the homological shift ideals of edge ideals associated with weighted oriented graphs. For a weighted oriented graph , let denote the $k^{th}…
-number of Lovász-Saks-Schrijver Ideals and (parity) binomial edge ideals of graphs
Manohar Kumar, Emiliano Liwski
In this paper, we introduce a new framework for computing certain localized -numbers of a class of ideals called coordinate-saturated ideals, which includes certain cla…
Componentwise linearity of powers of edge ideals of weighted oriented graphs
Manohar Kumar, Joydip Mondal, Ramakrishna Nanduri
In this paper, we study the componentwise linearity of powers of edge ideal of a weighted oriented graph . We give a characterization for componentwise linearity of the edge ide…
The slope of v-function and Waldschmidt constant
Manohar Kumar, Ramakrishna Nanduri, Kamalesh Saha
In this paper, we study the asymptotic behaviour of the v-number of a Noetherian graded filtration of a Noetherian -graded domain $…
Componentwise linearity of edge ideals of weighted oriented graphs
Manohar Kumar, Ramakrishna Nanduri, Kamalesh Saha
In this paper, we study the componentwise linearity of edge ideals of weighted oriented graphs. We show that if is a weighted oriented graph whose edge ideal is componen…
Regularity of powers of edge ideals of Cohen-Macaulay weighted oriented forests
Manohar Kumar, Ramakrishna Nanduri
In this paper, we explicitly give combinatorial formulas for the regularity of powers of edge ideals, $\reg(I(D)^k)$, of weighted oriented unmixed forests whose leaves are sink…