4 papers
Construction of Symmetric Cubic Surfaces
Michela Brundu, Alessandro Logar, Federico Polli
We consider the action of the group on the smooth cubic surfaces of ( an algebraically closed field of characteristic zero). We classify, in…
Quartic monoid surfaces with maximum number of lines
Mauro Carlo Beltrametti, Alessandro Logar, Maria Laura Torrente
In 1884 the German mathematician Karl Rohn published a substantial paper on \cite{ROH} on the properties of quartic surfaces with triple points, proving (among many other things) t…
On the configurations of nine points on a cubic curve
Alessandro Logar, Sara Paronitti
We study the reciprocal position of nine points in the plane, according to their collinearities. In particular, we consider the case in which the nine points are contained in an ir…
Border bases for lattice ideals
Giandomenico Boffi, Alessandro Logar
The main ingredient to construct an O-border basis of an ideal I K[x1,. .., xn] is the order ideal O, which is a basis of the K-vector space K[x1,. .., xn]/I. In this p…