Miscel·lània

Índex de l'obra ressenyada: Sandra CAMACHO CLAVIJO, La formació del contracte electrònic. Tesi doctoral de Sandra Camacho Clavijo. Universitat Autònoma de Barcelona, 200

Spectra of quadratic vector fields on C2\mathbb{C}^2: The missing relation

Consider a quadratic vector field on $\mathbb{C}^2$ having an invariant line at infinity and isolated singularities only. We define the extended spectra of singularities to be the collection of the spectra of the linearization matrices of each of the singular points over the affine part, together with all the characteristic numbers (i.e. Camacho-Sad indices) at infinity. This collection consists of 11 complex numbers, and is invariant under affine equivalence of vector fields. In this paper we describe all polynomial relations among these numbers. There are 5 independent polynomial relations; four of them follow from the Euler-Jacobi, the Baum-Bott and the Camacho-Sad index theorems, and are well known. The fifth relation was, until now, completely unknown. We provide an explicit formula for the missing 5th relation, discuss it's meaning and prove that it cannot be formulated as an index theorem.Comment: 16 pages, 1 appendix. Note that the title has changed from the previous versio

Amanda Camacho: Columbian Cut-Flower Worker

this story is part of ILRF\u27s Stories of Working Women series. In her testimony, Amanda Comacho describes the cut-flower industry, working conditions, and her daily life in Colombia. She explains the sitration of contracted workers and recounts the company\u27s resistance to forming a union at her workplace

Interview with Moises Camacho

Moises Camacho was born in Chicago, Illinois. Growing up, he lived in various locations such as Long Beach, California; Chicago, Illinois; and Arizona before finally settling in Brownsburg, Indiana. Camacho lived with his dad and five other siblings while his mother lived outside of Indianapolis, Indiana. In high school, he participated in Distributive Education Clubs of America, National Art Honor Society, and yearbook club. It was in yearbook club that his teacher let him to borrow a camera and test out his passion for film making. After graduating from Brownsburg High School, Camacho went on to continue his education at Columbia College Chicago majoring in film making. The summer before he started college, Camacho filmed and edited a documentary about his adventures with his friend. As a freshman in college, Camacho was a part of Columbia College Chicago’s honors program and ran a podcast called, “Enter Sandman” with another Columbia student where the two talked about Adam Sandler movies. In 2020, the coronavirus pandemic caused his college to close its campus and move to online learning. Camacho moved from his grandmother’s home close to the city back to his hometown of Brownsburg, Indiana to be with his father and siblings. He is continuing his education digitally while continuing work as an essential worker as a at Walmart.https://digitalcommons.colum.edu/capturingquarantine/1014/thumbnail.jp

Sliding invariants and classification of singular holomorphic foliations in the plane

By introducing a new invariant called the set of slidings, we give a complete strict classification of the class of germs of non-dicritical holomorphic foliations in the plan whose Camacho-Sad indices are not rational. Moreover, we will show that, in this class, the new invariant is finitely determined. Consequently, the finite determination of the class of isoholonomic non-dicritical foliations and absolutely dicritical foliations that have the same Dulac maps are proved.Comment: 21 pages, 2 figur