34 citations · 139 across the 44 of their papers we have counts for
54 papers
Linear Independence of Polynomial Compositions and Identifiability of Deep Neural Networks
Kathlén Kohn, Giovanni Luca Marchetti, Alex Massarenti +1
Motivated by theoretical problems in deep learning, we conjecture that post-composing a fixed number of pairwise distinct nonconstant polynomials with a generic polynomial of suffi…
Unirational Fano threefolds
Alex Massarenti
We use the relative Abel--Jacobi construction of Cheltsov--Loginov--Orlov--Prokhorov to study unirational Fano threefolds. Our main result is a -dimensional family of smooth un…
Mori theory and symplectic reduction for polygons and quivers
Alessia Mandini, Alex Massarenti
We investigate the birational geometry of moduli spaces of polygons and quivers, emphasizing the link between Mori theory and symplectic reduction. On the additive side we relate M…
Quadratic Cremona transformations of
Gianluca Grassi, Alex Massarenti
We prove that has exactly nine irreducible components and that the locus of transformations with zero-dimensional base scheme is irreducible.
Log-Conformal Projective Manifolds
Maurício Corrêa, Alex Massarenti
Let be a smooth complex projective simple normal crossing pair of dimension endowed with an everywhere nondegenerate logarithmic conformal tensor. If is no…
Compactifications of spaces of symmetric matrices and pointed Kontsevich spaces of isotropic Grassmannians
Hanlong Fang, Alex Massarenti, Xian Wu
We study two closely related families of varieties arising from genus stable maps to the Lagrangian Grassmannian . First, we construct the Kausz--type…