Gabriel Sticlaru

Codimension Two Complete Intersections and Hilbert-Poincare´ Series

Gabriel Sticlaru · Journal of Advances in Mathematics and Computer Science · 2014

We investigate the relation between codimension two smooth complete intersections in a projective space and some naturally associated graded algebras. We give some examples of log-concave polynomials and we propose two conjectures for these algebras.

Open access Research Article 10.9734/BJMCS/2014/8659

Free Divisors versus Stability and Coincidence Thresholds

Gabriel Sticlaru · Journal of Advances in Mathematics and Computer Science · 2014

We show that there is an unexpected relation between free divisors and stability and coincidence thresholds for projective hypersurfaces.

Open access Research Article 10.9734/BJMCS/2014/8185

Some Criteria to Check If a Projective Hypersurface is Smooth or Singular

Gabriel Sticlaru · Journal of Advances in Mathematics and Computer Science · 2014

In this paper we present some properties for projective hypersurfaces, smooth and singular, to be criteria for identication. To make the decision with these criteria, we have included procedures written in Singular language.

Open access Research Article 10.9734/BJMCS/2014/8047