8 citations · 20 across the 8 of their papers we have counts for
9 papers
CW-complex Nagata Idealizations
Armando Capasso, Pietro De Poi, Giovanna Ilardi
We introduce a novel construction which allows us to identify the elements of the skeletons of a CW-complex and the monomials in variables. From this, we infer that ther…
Gonality of curves on fundamental loci of first order congruences (Appendix to article of Ein, Lazarsfeld and Ullery)
Francesco Bastianelli, Pietro De Poi
This note is an appendix to 'Measures of irrationality for hypersurfaces of large degree' by L. Ein, R. Lazarsfeld and B. Ullery. We prove an existence result for families of curve…
On higher Gauss maps
Pietro De Poi, Giovanna Ilardi
We prove that the general fibre of the -th Gauss map has dimension if and only if at the general point the -th fundamental form consists of cones with vertex a fixed…
The gonality theorem of Noether for hypersurfaces
Francesco Bastianelli, Renza Cortini, Pietro De Poi
It is well known since Noether that the gonality of a smooth plane curve of degree d>3 is d-1. Given a k-dimensional complex projective variety X, the most natural extension of gon…
On the quadratic normality and the triple curve of three dimensional subvarieties of
Pietro De Poi, Emilia Mezzetti, José Carlos Sierra
A well-known conjecture asserts that smooth threefolds $X\subset\{\mathbb P}^5$ are quadratically normal with the only exception of the Palatini scroll. As a corollary of a more ge…
Linear Congruences and hyperbolic Systems of conservation Laws
Pietro De Poi, Emilia Mezzetti
S. I. Agafonov and E. V. Ferapontov have introduced a construction that allows naturally associating to a system of partial differential equations of conservation laws a congruence…