Zobrazeno 1 - 10
of 2 145
pro vyhledávání: '"Hernándes, A."'
In this work, we describe a prenormal form for the generators of the semigroup of a toric variety $X \subset \mathbb{C}^p$ with isolated singularity at the origin and smooth normalization. A complete description of the semigroup is given when $X$ is
Externí odkaz:
http://arxiv.org/abs/2412.05083
We study, for plane complex branches of genus one, the topological type of its generic polar curve, as a function of the semigroup of values and the Zariski invariant of the branch. We improve some results given by Casas-Alvero in 2023, since we filt
Externí odkaz:
http://arxiv.org/abs/2411.10853
Autor:
Hernandes, Raphael, Corsi, Giulio
This study examines the influence of Google's search algorithm on news diversity by analyzing search results in Brazil, the UK, and the US. It explores how Google's system preferentially favors a limited number of news outlets. Utilizing algorithm au
Externí odkaz:
http://arxiv.org/abs/2410.23842
Autor:
Hernandes, Raphael, Corsi, Giulio
The current surge in Artificial Intelligence (AI) interest, reflected in heightened media coverage since 2009, has sparked significant debate on AI's implications for privacy, social justice, workers' rights, and democracy. The media plays a crucial
Externí odkaz:
http://arxiv.org/abs/2410.17423
In this work, we refine a formula for the Tjurina number of a reducible algebroid plane curve defined over $\mathbb C$ obtained in the more general case of complete intersection curves in [1]. As a byproduct, we answer the affirmative to a conjecture
Externí odkaz:
http://arxiv.org/abs/2409.11153
Autor:
Hernandes, Vinicius, Greplova, Eliska
Understanding of how biological neural networks process information is one of the biggest open scientific questions of our time. Advances in machine learning and artificial neural networks have enabled the modeling of neuronal behavior, but classical
Externí odkaz:
http://arxiv.org/abs/2409.09125
Autor:
Hernandes, Raphael, Corsi, Giulio
This research investigates whether OpenAI's GPT-4, a state-of-the-art large language model, can accurately classify the political bias of news sources based solely on their URLs. Given the subjective nature of political labels, third-party bias ratin
Externí odkaz:
http://arxiv.org/abs/2407.14344
We show how to obtain the Zariski invariant of a plane branch employing the contact order or the intersection multiplicity with elements in a particular family of curves and we present some consequences of this result.
Externí odkaz:
http://arxiv.org/abs/2407.03461
Autor:
Genzmer, Yohann, Hernandes, Marcelo E.
In this work we study the \emph{Saito number} of a plane curve and we present a method to determine the minimal Saito number for plane curves in a given equisingularity class, that gives rise to an actual algorithm. In particular situations, we also
Externí odkaz:
http://arxiv.org/abs/2406.13729
We introduce QDsim, a python package tailored for the rapid generation of charge stability diagrams in large-scale quantum dot devices, extending beyond traditional double or triple dots. QDsim is founded on the constant interaction model from which
Externí odkaz:
http://arxiv.org/abs/2404.02712