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Schubert compactifications of matrix pencils
Vincenzo Galgano, Fulvio Gesmundo, Hanieh Keneshlou
The Schubert compactification of a linear space of matrices is a natural compactification of in the Grassmannian . T…
Components of Hilbert Schemes of low degree and smoothable algebras
Maciej Gałązka, Hanieh Keneshlou, Klemen Šivic
In this article, we describe the irreducible components of the Hilbert scheme of points on for . The main techniques we use are the variety of commuting…
Cactus scheme, catalecticant minors, and scheme theoretic equations
Jarosław Buczyński, Hanieh Keneshlou
The -th cactus variety of a subvariety in a projective space generalizes the -th secant variety of and it is defined using linear spans of finite subschemes of of…
Collineation varieties of tensors
Fulvio Gesmundo, Hanieh Keneshlou
In this article, we introduce the -th collineation variety of a third order tensor. This is the closure of the image of the rational map of size minors of a matrix of linear…
Equivariant Euler characteristics on permutohedral varieties
Vincenzo Galgano, Hanieh Keneshlou, Mateusz Michalek
By the work of J.Huh, one can interpret binomial coefficients as a solution to an intersection problem on a permutohedral variety . Applying Hirzebruch-Riemann-Roch, this inte…
On construction of k-regular maps to Grassmannians via algebras of socle dimension two
Joachim Jelisiejew, Hanieh Keneshlou
A continuous map is -regular if the -dimensional subspaces corresponding to images of any distinct points span a -dimensional space. For $τ…
On the unirationality of moduli spaces of pointed curves
Hanieh Keneshlou, Fabio Tanturri
We show that , the moduli space of smooth curves of genus together with marked points, is unirational for and and for and…
Cubic surfaces on the singular locus of the Eckardt hypersurface
Hanieh Keneshlou
The Eckardt hypersurface in parameterizes smooth cubic surfaces with an Eckardt point, which is a point common to three of the lines on a smooth cubic surfac…
Quantitative singularity theory for random polynomials
Paul Breiding, Hanieh Keneshlou, Antonio Lerario
Motivated by Hilbert's 16th problem we discuss the probabilities of topological features of a system of random homogeneous polynomials. The distribution for the polynomials is the…
Determinantal representations of the cubic discriminant
Dominic Bunnett, Hanieh Keneshlou
We compute and study two determinantal representations of the discriminant of a cubic quaternary form. The first representation is the Chow form of the -uple embedding of $\math…
The unirational components of the strata of genus curves with several pencils of degree in
Hanieh Keneshlou, Frank-Olaf Schreyer
We show that the strata of gonal curves of genus , equipped with mutually independent and type I pencils of degree…
The unirationality of the Hurwitz schemes and
Hanieh Keneshlou, Fabio Tanturri
We show that the Hurwitz scheme parametrizing -sheeted simply branched covers of the projective line by smooth curves of genus , up to isomorphism, is uni…