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math.AG2022

Construction of Symmetric Cubic Surfaces

Michela Brundu, Alessandro Logar, Federico Polli

We consider the action of the group $PGL_{4} (K)$ on the smooth cubic surfaces of $P_{K}^{3}$ ( $K$ an algebraically closed field of characteristic zero). We classify, in…

math.AG2016

Border bases for lattice ideals

Giandomenico Boffi, Alessandro Logar

The main ingredient to construct an O-border basis of an ideal I $\subseteq$ K[x1,. .., xn] is the order ideal O, which is a basis of the K-vector space K[x1,. .., xn]/I. In this p…