14 citations · 24 across the 14 of their papers we have counts for
14 papers
Determinantal computation of minimal local GADs
Oriol Reig Fité, 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…
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- forms . From a geometric perspective, a GAD corre…
The Hessian of elliptic curves as a Lattès map
Marzio Mula, Federico Pintore, Daniele Taufer
We prove that the Hessian transformation of elliptic curves, both as an action on -invariants and on the Hesse pencil, is a rigid Lattès map fitting into a reduced diagram, henc…
Elliptic curves over Hasse pairs
Eleni Agathocleous, Antoine Joux, Daniele Taufer
We call a pair of distinct prime powers a Hasse pair if . For such pairs, we study the relation between the set…
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 -homogeneous polynomial . We employ GADs to investigate the regula…
Multiplication polynomials for elliptic curves over finite local rings
Riccardo Invernizzi, Daniele Taufer
For a given elliptic curve over a finite local ring, we denote by its subgroup at infinity. Every point can be described solely in terms of its…
Elliptic Loops
Massimiliano Sala, Daniele Taufer
Given a local ring and an elliptic curve , we define elliptic loops as the points of projecting to under the canonical m…
First-degree prime ideals of composite extensions
Giordano Santilli, Daniele Taufer
Let and be linearly disjoint number fields and let be their compositum. We prove that the first-degree prime ideals of $\mathbb{Z}[θ…
Normal and pseudonormal numbers
Nicolò Cangiotti, Daniele Taufer
After a short review of the historical milestones on normal numbers, we introduce the Borel numbers as the reals admitting a probability function on their different bases represent…
The group structure of elliptic curves over Z/NZ
Massimiliano Sala, Daniele Taufer
We characterize the possible groups arising from elliptic curves over in terms of the groups , with varyin…
A new ECDLP-based PoW model
Alessio Meneghetti, Massimiliano Sala, Daniele Taufer
We lay the foundations for a blockchain scheme, whose consensus is reached via a proof of work algorithm based on the solution of consecutive discrete logarithm problems over the p…
First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals
Giordano Santilli, Daniele Taufer
We describe first-degree prime ideals of biquadratic extensions in terms of first-degree prime ideals of two underlying quadratic fields. The identification of the prime divisors i…
A survey on efficient parallelization of blockchain-based smart contracts
Alessio Meneghetti, Tommaso Parise, Massimiliano Sala +1
The main problem faced by smart contract platforms is the amount of time and computational power required to reach consensus. In a classical blockchain model, each operation is in…
Waring, tangential and cactus decompositions
Alessandra Bernardi, Daniele Taufer
(EN) We revise the famous algorithm for symmetric tensor decomposition due to Brachat, Comon, Mourrain and Tsidgaridas. Afterwards, we generalize it in order to detect possibly dif…