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math.AG2025
The Alexander-Hirschowitz theorem for neurovarieties
A. Massarenti, M. Mella
We study the dimension and identifiability of neurovarieties associated to polynomial neural networks. We give an independent geometric proof that the linear bounds $d_i\geq 2n_i-1…
math.AG2025
Algebraic growth of the Cremona group
Alberto Calabri, Serge Cantat, Alex Massarenti +2
We initiate the study of the ''algebraic growth'' of groups of automorphisms and birational transformations of algebraic varieties. Our main result concerns $\text{Bir}(\mathbb{P}^…