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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…