18 citations · 35 across the 18 of their papers we have counts for
6 papers · 1 filter
Jacobian algebras and variation of hyperplane sections
Giovanna Ilardi, Abbas Nasrollah Nejad, Saeed Tafazolian
We study the variation in moduli of hyperplane sections of a hypersurface with at most isolated singularities. Using the Milnor algebra , we give…
Veronese Avoiding Hypersurfaces
Giovanna Ilardi, Abbas Nasrollah Nejad, Saeed Tafazolian
We introduce Veronese-Avoiding hypersurfaces, inspired by the theory of associated forms of Alper--Isaev. In the smooth case, we reinterpret their criterion via Macaulay inverse sy…
On Strong Lefschetz Property of 0-dimensional complete intersections and Veronese varieties
Alexandru Dimca, Giovanna Ilardi, Abbas Nasrollah Nejad
We show that the Strong Lefschetz Property in degree 1 for a homogeneous 0-dimensional complete intersection holds if the corresponding associated form, the Macaulay inverse system…
The Relation Type of Varieties
Maryam Akhavin, Abbas Nasrollah Nejad
In this paper, we introduce the notion of relation type of analytic and formal algebras and prove that it is well-defined and invariant by describing this notion in terms of the An…
Universal Decomposition Algebras Represent Endomorphisms
Ommolbanin Behzad, Abbas Nasrollah Nejad
The goal of this paper is to supply an explicit description of the universal decomposition algebra of the generic polynomial of degree into the product of two monic polynomials…
The Aluffi Algebra of a hypersurface with isolated singularity
Abbas Nasrollah Nejad
The Aluffi algebra is algebraic definition of characteristic cycles of a hypersurface in intersection theory. In this paper we focus on the Aluffi algebra of quasi-homogeneous and…