Khalil Houssam

Witt Groups of P1

Sarrage Mouhamad, Khalil Houssam, Hossein Mouhamad & Ezzaldine Hayssam · Journal of Advances in Mathematics and Computer Science · 2015

In this paper we calculate the Witt groups of P1. It's a known result, but we calculate it by another method: we use the localisation theorem of Balmer and the excision theorem of S. Gille.

Open access Research Article 10.9734/BJMCS/2015/18366

Resultant-Based Method for Overdetermined Strata for Degree 4 hyperbolic Polynomials

Ezzaldine Hayssam, Khalil Houssam, Sarrage Mouhamad & Hossein Mouhamad · Journal of Advances in Mathematics and Computer Science · 2015

We present a resultant-based method to calculate the overdetermined strata for degree 4 hyperbolic polynomials in one variable. It is a new method to calculate overdetermined strata. We present also the complete study of the overdetermined strata for degree 4 hyperbolic polynomia...

Open access Research Article 10.9734/BJMCS/2015/15865