38 citations · 70 across the 7 of their papers we have counts for
7 papers
Geproci sets on skew lines in with two transversals
Luca Chiantini, Pietro De Poi, Lucja Farnik +6
The purpose of this work is to pursue classification of geproci sets. Specifically we classify -geproci sets which consist of points on each of skew lines, assumin…
Hilbert functions and Jordan type of Perazzo Artinian algebras
Nancy Abdallah, Nasrin Altafi, Pietro De Poi +6
We study Hilbert functions, Lefschetz properties, and Jordan type of Artinian Gorenstein algebras associated to Perazzo hypersurfaces in projective space. The main focus lies on Pe…
Measures of irrationality for hypersurfaces of large degree
Francesco Bastianelli, Pietro De Poi, Lawrence Ein +2
We study various measures of irrationality for hypersurfaces of large degree in projective space and other varieties. These include the least degree of a rational covering of proje…
On varieties with higher osculating defect
Pietro De Poi, Roberta Di Gennaro, Giovanna Ilardi
In this paper, using the method of moving frames, we generalise some of Terracini's results on varieties with tangent defect. In particular, we characterise varieties with higher o…
On subcanonical Gorenstein varieties and apolarity
Pietro De Poi, Francesco Zucconi
Let be a codimension 1 subvariety of dimension of a variety of minimal degree . If is subcanonical with Gorenstein canonical singularities admitting a crepant resol…
Gonality, apolarity and hypercubics
Pietro De Poi, Francesco Zucconi
We show that any Fermat hypercubic is apolar to a trigonal curve, and vice versa. We show also that the Waring number of the polar hypercubic associated to a tetragonal curve of ge…
Congruences of lines in , quadratic normality, and completely exceptional Monge-Ampère equations
Pietro De Poi, Emilia Mezzetti
The existence is proved of two new families of locally Cohen-Macaulay sextic threefolds in , which are not quadratically normal. These threefolds arise naturally in t…