5 citations · 9 across the 7 of their papers we have counts for
9 papers
Linear Truncations Package for Macaulay2
Lauren Cranton Heller, Navid Nemati
We introduce the Macaulay2 package for finding and studying the truncations of a multigraded module over a standard multigraded ring that have linear r…
Multigraded Sylvester forms, Duality and Elimination Matrices
Laurent Busé, Marc Chardin, Navid Nemati
In this paper we study the equations of the elimination ideal associated with generic multihomogeneous polynomials defined over a product of projective spaces of dimension $n…
Multigraded regularity of complete intersections
Marc Chardin, Navid Nemati
is a complete intersection scheme in a multiprojective space if it can be defined by an ideal with as many generators as . We investigate the multigraded…
Equations of some embeddings of a projective space into another one
Marc Chardin, Navid Nemati
In arXiv:math/0405373 , Eisenbud, Huneke and Ulrich conjectured a result on the Castelnuovo-Mumford regularity of the embedding of a projective space $\mathbb{P}^{n-1}\hookrightarr…
The (ir)regularity of Tor and Ext
Marc Chardin, Dipankar Ghosh, Navid Nemati
We investigate the asymptotic behaviour of Castelnuovo-Mumford regularity of Ext and Tor, with respect to the homological degree, over complete intersection rings. We derive from a…
Lefschetz properties of monomial ideals with almost linear resolution
Nasrin Altafi, Navid Nemati
We study the WLP and SLP of artinian monomial ideals in via studying their minimal free resolutions. We study the Lefschetz properties of such ideals…
Regularity of bicyclic Graphs and their powers
Yairon Cid-Ruiz, Sepehr Jafari, Navid Nemati +1
Let be the edge ideal of a bicyclic graph. In this paper, we characterize the Castelnuovo-Mumford regularity of in terms of the induced matching number of . For th…
Castelnuovo-Mumford regularity of Koszul cycles and Koszul homologies
Kamran Lamei, Navid Nemati
We extend to one dimensional quotients the result of A. Conca and S. Murai on the convexity of the regularity of Koszul cycles. By providing a relation between the regularity of Ko…
Free resolution of powers of monomial ideals and Golod rings
Nasrin Altafi, Navid Nemati, S. A. Seyed Fakhari +1
Let be the polynomial ring over a field . In this paper we present a criterion for componentwise linearity of powers of monomial ideal…