Daniele Taufer

activity

20242026

collaborators

5 papers

math.AC2026

Determinantal computation of minimal local GADs

Oriol Reig FitÃ©, Daniele Taufer

We study local generalized additive decompositions (GADs) of homogeneous polynomials and their associated points schemes through their local inverse systems. We verify that their c…

math.AC2025

Generalized Additive Decompositions of Symmetric Tensors

Enrica Barrilli, Bernard Mourrain, Daniele Taufer

This article addresses the Generalized Additive Decomposition (GAD) of symmetric tensors, that is, degree- $d$ forms $f \in S_{d}$ . From a geometric perspective, a GAD corre…

math.NT2025

The Hessian of elliptic curves as a LattÃ¨s map

Marzio Mula, Federico Pintore, Daniele Taufer

We prove that the Hessian transformation of elliptic curves, both as an action on $j$ -invariants and on the Hesse pencil, is a rigid LattÃ¨s map fitting into a reduced diagram, hen…

math.NT2024

Elliptic curves over Hasse pairs

Eleni Agathocleous, Antoine Joux, Daniele Taufer

We call a pair of distinct prime powers $(q_{1}, q_{2}) = (p_{1}^{a_{1}}, p_{2}^{a_{2}})$ a Hasse pair if $∣ q_{1} - q_{2} ∣ \leq 1$ . For such pairs, we study the relation between the set…

math.AC2024

On schemes evinced by generalized additive decompositions and their regularity

Alessandra Bernardi, Alessandro Oneto, Daniele Taufer

We define and explicitly construct schemes evinced by generalized additive decompositions (GADs) of a given $d$ -homogeneous polynomial $F$ . We employ GADs to investigate the regula…